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Finding the Fourth Proportional to 8,302.13, 12,388.98 and 7,415.08

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Solution

The fourth proportional to 8,302.13, 12,388.98 and 7,415.08 is: 11,065.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.13 : 12,388.98 = 7,415.08 : x
  2. Step 2: Convert to fraction form
    8,302.13/12,388.98 = 7,415.08/x
  3. Step 3: Cross multiply
    8,302.13x = 12,388.98 × 7,415.08
  4. Step 4: Simplify right side
    8,302.13x = 91,865,274.65
  5. Step 5: Solve for x
    x = 91,865,274.65/8,302.13
  6. Step 6: Final answer
    x = 11,065.27

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.