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Finding the Fourth Proportional to 5,612.40, 8,421.24 and 3,764.40

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Solution

The fourth proportional to 5,612.40, 8,421.24 and 3,764.40 is: 5,648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.40 : 8,421.24 = 3,764.40 : x
  2. Step 2: Convert to fraction form
    5,612.40/8,421.24 = 3,764.40/x
  3. Step 3: Cross multiply
    5,612.40x = 8,421.24 × 3,764.40
  4. Step 4: Simplify right side
    5,612.40x = 31,700,915.86
  5. Step 5: Solve for x
    x = 31,700,915.86/5,612.40
  6. Step 6: Final answer
    x = 5,648.37

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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.