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Finding the Fourth Proportional to 8,462.61, 12,689.60 and 3,530.93

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Solution

The fourth proportional to 8,462.61, 12,689.60 and 3,530.93 is: 5,294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.61 : 12,689.60 = 3,530.93 : x
  2. Step 2: Convert to fraction form
    8,462.61/12,689.60 = 3,530.93/x
  3. Step 3: Cross multiply
    8,462.61x = 12,689.60 × 3,530.93
  4. Step 4: Simplify right side
    8,462.61x = 44,806,008.23
  5. Step 5: Solve for x
    x = 44,806,008.23/8,462.61
  6. Step 6: Final answer
    x = 5,294.59

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1.5x scale

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.