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Finding the Fourth Proportional to 9,305.40, 12,840.62 and 5,326.20

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Solution

The fourth proportional to 9,305.40, 12,840.62 and 5,326.20 is: 7,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.40 : 12,840.62 = 5,326.20 : x
  2. Step 2: Convert to fraction form
    9,305.40/12,840.62 = 5,326.20/x
  3. Step 3: Cross multiply
    9,305.40x = 12,840.62 × 5,326.20
  4. Step 4: Simplify right side
    9,305.40x = 68,391,710.24
  5. Step 5: Solve for x
    x = 68,391,710.24/9,305.40
  6. Step 6: Final answer
    x = 7,349.68

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.