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Finding the Fourth Proportional to 5,746.90, 7,931.46 and 3,508.30

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Solution

The fourth proportional to 5,746.90, 7,931.46 and 3,508.30 is: 4,841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.90 : 7,931.46 = 3,508.30 : x
  2. Step 2: Convert to fraction form
    5,746.90/7,931.46 = 3,508.30/x
  3. Step 3: Cross multiply
    5,746.90x = 7,931.46 × 3,508.30
  4. Step 4: Simplify right side
    5,746.90x = 27,825,941.12
  5. Step 5: Solve for x
    x = 27,825,941.12/5,746.90
  6. Step 6: Final answer
    x = 4,841.90

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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.