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Finding the Fourth Proportional to 3,645.92, 5,468.88 and 1,913.60

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Solution

The fourth proportional to 3,645.92, 5,468.88 and 1,913.60 is: 2,870.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.92 : 5,468.88 = 1,913.60 : x
  2. Step 2: Convert to fraction form
    3,645.92/5,468.88 = 1,913.60/x
  3. Step 3: Cross multiply
    3,645.92x = 5,468.88 × 1,913.60
  4. Step 4: Simplify right side
    3,645.92x = 10,465,248.77
  5. Step 5: Solve for x
    x = 10,465,248.77/3,645.92
  6. Step 6: Final answer
    x = 2,870.40

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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.