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Finding the Fourth Proportional to 19,718.60, 29,513.10 and 13,886.60

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Solution

The fourth proportional to 19,718.60, 29,513.10 and 13,886.60 is: 20,784.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,718.60 : 29,513.10 = 13,886.60 : x
  2. Step 2: Convert to fraction form
    19,718.60/29,513.10 = 13,886.60/x
  3. Step 3: Cross multiply
    19,718.60x = 29,513.10 × 13,886.60
  4. Step 4: Simplify right side
    19,718.60x = 409,836,614.46
  5. Step 5: Solve for x
    x = 409,836,614.46/19,718.60
  6. Step 6: Final answer
    x = 20,784.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.