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Finding the Fourth Proportional to 8,407.63, 12,613.30 and 2,564.69

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Solution

The fourth proportional to 8,407.63, 12,613.30 and 2,564.69 is: 3,847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.63 : 12,613.30 = 2,564.69 : x
  2. Step 2: Convert to fraction form
    8,407.63/12,613.30 = 2,564.69/x
  3. Step 3: Cross multiply
    8,407.63x = 12,613.30 × 2,564.69
  4. Step 4: Simplify right side
    8,407.63x = 32,349,204.38
  5. Step 5: Solve for x
    x = 32,349,204.38/8,407.63
  6. Step 6: Final answer
    x = 3,847.60

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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.