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Finding the Fourth Proportional to 10,534.92, 15,802.20 and 3,871.92

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Solution

The fourth proportional to 10,534.92, 15,802.20 and 3,871.92 is: 5,807.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.92 : 15,802.20 = 3,871.92 : x
  2. Step 2: Convert to fraction form
    10,534.92/15,802.20 = 3,871.92/x
  3. Step 3: Cross multiply
    10,534.92x = 15,802.20 × 3,871.92
  4. Step 4: Simplify right side
    10,534.92x = 61,184,854.22
  5. Step 5: Solve for x
    x = 61,184,854.22/10,534.92
  6. Step 6: Final answer
    x = 5,807.81

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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.