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Finding the Fourth Proportional to 7,876.18, 10,859.04 and 6,454.64

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Solution

The fourth proportional to 7,876.18, 10,859.04 and 6,454.64 is: 8,899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.18 : 10,859.04 = 6,454.64 : x
  2. Step 2: Convert to fraction form
    7,876.18/10,859.04 = 6,454.64/x
  3. Step 3: Cross multiply
    7,876.18x = 10,859.04 × 6,454.64
  4. Step 4: Simplify right side
    7,876.18x = 70,091,193.95
  5. Step 5: Solve for x
    x = 70,091,193.95/7,876.18
  6. Step 6: Final answer
    x = 8,899.14

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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.