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Finding the Fourth Proportional to 7,176.60, 9,878.76 and 6,185.16

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Solution

The fourth proportional to 7,176.60, 9,878.76 and 6,185.16 is: 8,514.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.60 : 9,878.76 = 6,185.16 : x
  2. Step 2: Convert to fraction form
    7,176.60/9,878.76 = 6,185.16/x
  3. Step 3: Cross multiply
    7,176.60x = 9,878.76 × 6,185.16
  4. Step 4: Simplify right side
    7,176.60x = 61,101,711.20
  5. Step 5: Solve for x
    x = 61,101,711.20/7,176.60
  6. Step 6: Final answer
    x = 8,514.02

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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.