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Finding the Fourth Proportional to 7,539, 10,403.56 and 4,182.13

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Solution

The fourth proportional to 7,539, 10,403.56 and 4,182.13 is: 5,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539 : 10,403.56 = 4,182.13 : x
  2. Step 2: Convert to fraction form
    7,539/10,403.56 = 4,182.13/x
  3. Step 3: Cross multiply
    7,539x = 10,403.56 × 4,182.13
  4. Step 4: Simplify right side
    7,539x = 43,509,040.38
  5. Step 5: Solve for x
    x = 43,509,040.38/7,539
  6. Step 6: Final answer
    x = 5,771.20

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Half scale
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Double 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.