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Finding the Fourth Proportional to 8,457.70, 12,686.55 and 2,909.20

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Solution

The fourth proportional to 8,457.70, 12,686.55 and 2,909.20 is: 4,363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.70 : 12,686.55 = 2,909.20 : x
  2. Step 2: Convert to fraction form
    8,457.70/12,686.55 = 2,909.20/x
  3. Step 3: Cross multiply
    8,457.70x = 12,686.55 × 2,909.20
  4. Step 4: Simplify right side
    8,457.70x = 36,907,711.26
  5. Step 5: Solve for x
    x = 36,907,711.26/8,457.70
  6. Step 6: Final answer
    x = 4,363.80

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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.