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Finding the Fourth Proportional to 10,530.52, 15,779.94 and 7,605.88

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Solution

The fourth proportional to 10,530.52, 15,779.94 and 7,605.88 is: 11,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.52 : 15,779.94 = 7,605.88 : x
  2. Step 2: Convert to fraction form
    10,530.52/15,779.94 = 7,605.88/x
  3. Step 3: Cross multiply
    10,530.52x = 15,779.94 × 7,605.88
  4. Step 4: Simplify right side
    10,530.52x = 120,020,330.05
  5. Step 5: Solve for x
    x = 120,020,330.05/10,530.52
  6. Step 6: Final answer
    x = 11,397.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.