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Finding the Fourth Proportional to 14,200.25, 19,575.86 and 9,938.12

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Solution

The fourth proportional to 14,200.25, 19,575.86 and 9,938.12 is: 13,700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.25 : 19,575.86 = 9,938.12 : x
  2. Step 2: Convert to fraction form
    14,200.25/19,575.86 = 9,938.12/x
  3. Step 3: Cross multiply
    14,200.25x = 19,575.86 × 9,938.12
  4. Step 4: Simplify right side
    14,200.25x = 194,547,098.21
  5. Step 5: Solve for x
    x = 194,547,098.21/14,200.25
  6. Step 6: Final answer
    x = 13,700.26

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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.