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Finding the Fourth Proportional to 5,416.53, 8,125.10 and 1,520.93

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Solution

The fourth proportional to 5,416.53, 8,125.10 and 1,520.93 is: 2,281.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.53 : 8,125.10 = 1,520.93 : x
  2. Step 2: Convert to fraction form
    5,416.53/8,125.10 = 1,520.93/x
  3. Step 3: Cross multiply
    5,416.53x = 8,125.10 × 1,520.93
  4. Step 4: Simplify right side
    5,416.53x = 12,357,708.34
  5. Step 5: Solve for x
    x = 12,357,708.34/5,416.53
  6. Step 6: Final answer
    x = 2,281.48

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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.