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Finding the Fourth Proportional to 7,128.76, 9,842.28 and 4,612.12

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Solution

The fourth proportional to 7,128.76, 9,842.28 and 4,612.12 is: 6,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.76 : 9,842.28 = 4,612.12 : x
  2. Step 2: Convert to fraction form
    7,128.76/9,842.28 = 4,612.12/x
  3. Step 3: Cross multiply
    7,128.76x = 9,842.28 × 4,612.12
  4. Step 4: Simplify right side
    7,128.76x = 45,393,776.43
  5. Step 5: Solve for x
    x = 45,393,776.43/7,128.76
  6. Step 6: Final answer
    x = 6,367.70

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Half scale
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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.