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Finding the Fourth Proportional to 14,707, 20,283.80 and 9,531.10

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Solution

The fourth proportional to 14,707, 20,283.80 and 9,531.10 is: 13,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,707 : 20,283.80 = 9,531.10 : x
  2. Step 2: Convert to fraction form
    14,707/20,283.80 = 9,531.10/x
  3. Step 3: Cross multiply
    14,707x = 20,283.80 × 9,531.10
  4. Step 4: Simplify right side
    14,707x = 193,326,926.18
  5. Step 5: Solve for x
    x = 193,326,926.18/14,707
  6. Step 6: Final answer
    x = 13,145.23

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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.