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Finding the Fourth Proportional to 7,872.40, 10,865.10 and 5,980.88

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Solution

The fourth proportional to 7,872.40, 10,865.10 and 5,980.88 is: 8,254.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.40 : 10,865.10 = 5,980.88 : x
  2. Step 2: Convert to fraction form
    7,872.40/10,865.10 = 5,980.88/x
  3. Step 3: Cross multiply
    7,872.40x = 10,865.10 × 5,980.88
  4. Step 4: Simplify right side
    7,872.40x = 64,982,859.29
  5. Step 5: Solve for x
    x = 64,982,859.29/7,872.40
  6. Step 6: Final answer
    x = 8,254.52

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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.