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Finding the Fourth Proportional to 13,098.47, 19,630.18 and 6,424.76

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Solution

The fourth proportional to 13,098.47, 19,630.18 and 6,424.76 is: 9,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.47 : 19,630.18 = 6,424.76 : x
  2. Step 2: Convert to fraction form
    13,098.47/19,630.18 = 6,424.76/x
  3. Step 3: Cross multiply
    13,098.47x = 19,630.18 × 6,424.76
  4. Step 4: Simplify right side
    13,098.47x = 126,119,142.61
  5. Step 5: Solve for x
    x = 126,119,142.61/13,098.47
  6. Step 6: Final answer
    x = 9,628.54

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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.