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Finding the Fourth Proportional to 5,751.60, 7,934.40 and 3,656.40

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Solution

The fourth proportional to 5,751.60, 7,934.40 and 3,656.40 is: 5,044.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.60 : 7,934.40 = 3,656.40 : x
  2. Step 2: Convert to fraction form
    5,751.60/7,934.40 = 3,656.40/x
  3. Step 3: Cross multiply
    5,751.60x = 7,934.40 × 3,656.40
  4. Step 4: Simplify right side
    5,751.60x = 29,011,340.16
  5. Step 5: Solve for x
    x = 29,011,340.16/5,751.60
  6. Step 6: Final answer
    x = 5,044.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.