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Finding the Fourth Proportional to 5,459.60, 8,187.90 and 1,509.92

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Solution

The fourth proportional to 5,459.60, 8,187.90 and 1,509.92 is: 2,264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.60 : 8,187.90 = 1,509.92 : x
  2. Step 2: Convert to fraction form
    5,459.60/8,187.90 = 1,509.92/x
  3. Step 3: Cross multiply
    5,459.60x = 8,187.90 × 1,509.92
  4. Step 4: Simplify right side
    5,459.60x = 12,363,073.97
  5. Step 5: Solve for x
    x = 12,363,073.97/5,459.60
  6. Step 6: Final answer
    x = 2,264.47

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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.