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Finding the Fourth Proportional to 7,862.04, 10,839.51 and 6,440.49

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Solution

The fourth proportional to 7,862.04, 10,839.51 and 6,440.49 is: 8,879.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.04 : 10,839.51 = 6,440.49 : x
  2. Step 2: Convert to fraction form
    7,862.04/10,839.51 = 6,440.49/x
  3. Step 3: Cross multiply
    7,862.04x = 10,839.51 × 6,440.49
  4. Step 4: Simplify right side
    7,862.04x = 69,811,755.76
  5. Step 5: Solve for x
    x = 69,811,755.76/7,862.04
  6. Step 6: Final answer
    x = 8,879.60

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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.