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Finding the Fourth Proportional to 7,937, 10,937.96 and 5,813.18

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Solution

The fourth proportional to 7,937, 10,937.96 and 5,813.18 is: 8,011.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937 : 10,937.96 = 5,813.18 : x
  2. Step 2: Convert to fraction form
    7,937/10,937.96 = 5,813.18/x
  3. Step 3: Cross multiply
    7,937x = 10,937.96 × 5,813.18
  4. Step 4: Simplify right side
    7,937x = 63,584,330.31
  5. Step 5: Solve for x
    x = 63,584,330.31/7,937
  6. Step 6: Final answer
    x = 8,011.13

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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.