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Finding the Fourth Proportional to 7,085.63, 10,613.86 and 4,156.88

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Solution

The fourth proportional to 7,085.63, 10,613.86 and 4,156.88 is: 6,226.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.63 : 10,613.86 = 4,156.88 : x
  2. Step 2: Convert to fraction form
    7,085.63/10,613.86 = 4,156.88/x
  3. Step 3: Cross multiply
    7,085.63x = 10,613.86 × 4,156.88
  4. Step 4: Simplify right side
    7,085.63x = 44,120,478.90
  5. Step 5: Solve for x
    x = 44,120,478.90/7,085.63
  6. Step 6: Final answer
    x = 6,226.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.