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Finding the Fourth Proportional to 7,159.92, 9,886.02 and 6,175.80

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Solution

The fourth proportional to 7,159.92, 9,886.02 and 6,175.80 is: 8,527.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.92 : 9,886.02 = 6,175.80 : x
  2. Step 2: Convert to fraction form
    7,159.92/9,886.02 = 6,175.80/x
  3. Step 3: Cross multiply
    7,159.92x = 9,886.02 × 6,175.80
  4. Step 4: Simplify right side
    7,159.92x = 61,054,082.32
  5. Step 5: Solve for x
    x = 61,054,082.32/7,159.92
  6. Step 6: Final answer
    x = 8,527.20

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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.