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Finding the Fourth Proportional to 31,482.42, 47,240.01 and 13,948.13

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Solution

The fourth proportional to 31,482.42, 47,240.01 and 13,948.13 is: 20,929.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,482.42 : 47,240.01 = 13,948.13 : x
  2. Step 2: Convert to fraction form
    31,482.42/47,240.01 = 13,948.13/x
  3. Step 3: Cross multiply
    31,482.42x = 47,240.01 × 13,948.13
  4. Step 4: Simplify right side
    31,482.42x = 658,909,564.48
  5. Step 5: Solve for x
    x = 658,909,564.48/31,482.42
  6. Step 6: Final answer
    x = 20,929.44

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