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Finding the Fourth Proportional to 7,609.12, 10,512 and 6,501.52

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Solution

The fourth proportional to 7,609.12, 10,512 and 6,501.52 is: 8,981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.12 : 10,512 = 6,501.52 : x
  2. Step 2: Convert to fraction form
    7,609.12/10,512 = 6,501.52/x
  3. Step 3: Cross multiply
    7,609.12x = 10,512 × 6,501.52
  4. Step 4: Simplify right side
    7,609.12x = 68,343,978.24
  5. Step 5: Solve for x
    x = 68,343,978.24/7,609.12
  6. Step 6: Final answer
    x = 8,981.85

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Why These Related Problems?

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