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Finding the Fourth Proportional to 12,412.16, 17,128.64 and 6,823.04

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Solution

The fourth proportional to 12,412.16, 17,128.64 and 6,823.04 is: 9,415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.16 : 17,128.64 = 6,823.04 : x
  2. Step 2: Convert to fraction form
    12,412.16/17,128.64 = 6,823.04/x
  3. Step 3: Cross multiply
    12,412.16x = 17,128.64 × 6,823.04
  4. Step 4: Simplify right side
    12,412.16x = 116,869,395.87
  5. Step 5: Solve for x
    x = 116,869,395.87/12,412.16
  6. Step 6: Final answer
    x = 9,415.72

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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.