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Finding the Fourth Proportional to 8,681.70, 13,023.13 and 3,416.30

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Solution

The fourth proportional to 8,681.70, 13,023.13 and 3,416.30 is: 5,124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.70 : 13,023.13 = 3,416.30 : x
  2. Step 2: Convert to fraction form
    8,681.70/13,023.13 = 3,416.30/x
  3. Step 3: Cross multiply
    8,681.70x = 13,023.13 × 3,416.30
  4. Step 4: Simplify right side
    8,681.70x = 44,490,919.02
  5. Step 5: Solve for x
    x = 44,490,919.02/8,681.70
  6. Step 6: Final answer
    x = 5,124.68

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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.