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Finding the Fourth Proportional to 6,129.60, 9,192 and 2,430.72

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Solution

The fourth proportional to 6,129.60, 9,192 and 2,430.72 is: 3,645.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.60 : 9,192 = 2,430.72 : x
  2. Step 2: Convert to fraction form
    6,129.60/9,192 = 2,430.72/x
  3. Step 3: Cross multiply
    6,129.60x = 9,192 × 2,430.72
  4. Step 4: Simplify right side
    6,129.60x = 22,343,178.24
  5. Step 5: Solve for x
    x = 22,343,178.24/6,129.60
  6. Step 6: Final answer
    x = 3,645.13

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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.