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Finding the Fourth Proportional to 9,948.43, 13,728.90 and 5,411.11

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Solution

The fourth proportional to 9,948.43, 13,728.90 and 5,411.11 is: 7,467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.43 : 13,728.90 = 5,411.11 : x
  2. Step 2: Convert to fraction form
    9,948.43/13,728.90 = 5,411.11/x
  3. Step 3: Cross multiply
    9,948.43x = 13,728.90 × 5,411.11
  4. Step 4: Simplify right side
    9,948.43x = 74,288,492.38
  5. Step 5: Solve for x
    x = 74,288,492.38/9,948.43
  6. Step 6: Final answer
    x = 7,467.36

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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.