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Finding the Fourth Proportional to 10,875.60, 16,314.60 and 3,478.80

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Solution

The fourth proportional to 10,875.60, 16,314.60 and 3,478.80 is: 5,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.60 : 16,314.60 = 3,478.80 : x
  2. Step 2: Convert to fraction form
    10,875.60/16,314.60 = 3,478.80/x
  3. Step 3: Cross multiply
    10,875.60x = 16,314.60 × 3,478.80
  4. Step 4: Simplify right side
    10,875.60x = 56,755,230.48
  5. Step 5: Solve for x
    x = 56,755,230.48/10,875.60
  6. Step 6: Final answer
    x = 5,218.58

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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.