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Finding the Fourth Proportional to 7,911.92, 10,908.32 and 6,490.40

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Solution

The fourth proportional to 7,911.92, 10,908.32 and 6,490.40 is: 8,948.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.92 : 10,908.32 = 6,490.40 : x
  2. Step 2: Convert to fraction form
    7,911.92/10,908.32 = 6,490.40/x
  3. Step 3: Cross multiply
    7,911.92x = 10,908.32 × 6,490.40
  4. Step 4: Simplify right side
    7,911.92x = 70,799,360.13
  5. Step 5: Solve for x
    x = 70,799,360.13/7,911.92
  6. Step 6: Final answer
    x = 8,948.44

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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.