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Finding the Fourth Proportional to 10,457.64, 14,426.10 and 8,470.44

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Solution

The fourth proportional to 10,457.64, 14,426.10 and 8,470.44 is: 11,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.64 : 14,426.10 = 8,470.44 : x
  2. Step 2: Convert to fraction form
    10,457.64/14,426.10 = 8,470.44/x
  3. Step 3: Cross multiply
    10,457.64x = 14,426.10 × 8,470.44
  4. Step 4: Simplify right side
    10,457.64x = 122,195,414.48
  5. Step 5: Solve for x
    x = 122,195,414.48/10,457.64
  6. Step 6: Final answer
    x = 11,684.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.