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Finding the Fourth Proportional to 9,142, 13,699.88 and 4,972.92

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Solution

The fourth proportional to 9,142, 13,699.88 and 4,972.92 is: 7,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142 : 13,699.88 = 4,972.92 : x
  2. Step 2: Convert to fraction form
    9,142/13,699.88 = 4,972.92/x
  3. Step 3: Cross multiply
    9,142x = 13,699.88 × 4,972.92
  4. Step 4: Simplify right side
    9,142x = 68,128,407.25
  5. Step 5: Solve for x
    x = 68,128,407.25/9,142
  6. Step 6: Final answer
    x = 7,452.24

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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.