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Finding the Fourth Proportional to 8,430.66, 12,646.13 and 4,265.64

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Solution

The fourth proportional to 8,430.66, 12,646.13 and 4,265.64 is: 6,398.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.66 : 12,646.13 = 4,265.64 : x
  2. Step 2: Convert to fraction form
    8,430.66/12,646.13 = 4,265.64/x
  3. Step 3: Cross multiply
    8,430.66x = 12,646.13 × 4,265.64
  4. Step 4: Simplify right side
    8,430.66x = 53,943,837.97
  5. Step 5: Solve for x
    x = 53,943,837.97/8,430.66
  6. Step 6: Final answer
    x = 6,398.53

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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.