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Finding the Fourth Proportional to 7,932, 10,931.07 and 5,808.18

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Solution

The fourth proportional to 7,932, 10,931.07 and 5,808.18 is: 8,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932 : 10,931.07 = 5,808.18 : x
  2. Step 2: Convert to fraction form
    7,932/10,931.07 = 5,808.18/x
  3. Step 3: Cross multiply
    7,932x = 10,931.07 × 5,808.18
  4. Step 4: Simplify right side
    7,932x = 63,489,622.15
  5. Step 5: Solve for x
    x = 63,489,622.15/7,932
  6. Step 6: Final answer
    x = 8,004.24

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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.