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Finding the Fourth Proportional to 10,032.55, 15,071.89 and 7,077.79

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Solution

The fourth proportional to 10,032.55, 15,071.89 and 7,077.79 is: 10,632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.55 : 15,071.89 = 7,077.79 : x
  2. Step 2: Convert to fraction form
    10,032.55/15,071.89 = 7,077.79/x
  3. Step 3: Cross multiply
    10,032.55x = 15,071.89 × 7,077.79
  4. Step 4: Simplify right side
    10,032.55x = 106,675,672.32
  5. Step 5: Solve for x
    x = 106,675,672.32/10,032.55
  6. Step 6: Final answer
    x = 10,632.96

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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.