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Finding the Fourth Proportional to 5,603.68, 8,407.32 and 3,659.68

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Solution

The fourth proportional to 5,603.68, 8,407.32 and 3,659.68 is: 5,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.68 : 8,407.32 = 3,659.68 : x
  2. Step 2: Convert to fraction form
    5,603.68/8,407.32 = 3,659.68/x
  3. Step 3: Cross multiply
    5,603.68x = 8,407.32 × 3,659.68
  4. Step 4: Simplify right side
    5,603.68x = 30,768,100.86
  5. Step 5: Solve for x
    x = 30,768,100.86/5,603.68
  6. Step 6: Final answer
    x = 5,490.70

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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.