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Finding the Fourth Proportional to 10,182.94, 15,279 and 6,484.21

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Solution

The fourth proportional to 10,182.94, 15,279 and 6,484.21 is: 9,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.94 : 15,279 = 6,484.21 : x
  2. Step 2: Convert to fraction form
    10,182.94/15,279 = 6,484.21/x
  3. Step 3: Cross multiply
    10,182.94x = 15,279 × 6,484.21
  4. Step 4: Simplify right side
    10,182.94x = 99,072,244.59
  5. Step 5: Solve for x
    x = 99,072,244.59/10,182.94
  6. Step 6: Final answer
    x = 9,729.24

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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.