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Finding the Fourth Proportional to 16,842.60, 23,242.92 and 9,289.20

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Solution

The fourth proportional to 16,842.60, 23,242.92 and 9,289.20 is: 12,819.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.60 : 23,242.92 = 9,289.20 : x
  2. Step 2: Convert to fraction form
    16,842.60/23,242.92 = 9,289.20/x
  3. Step 3: Cross multiply
    16,842.60x = 23,242.92 × 9,289.20
  4. Step 4: Simplify right side
    16,842.60x = 215,908,132.46
  5. Step 5: Solve for x
    x = 215,908,132.46/16,842.60
  6. Step 6: Final answer
    x = 12,819.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.