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Finding the Fourth Proportional to 6,486.09, 9,710.78 and 5,042.13

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Solution

The fourth proportional to 6,486.09, 9,710.78 and 5,042.13 is: 7,548.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.09 : 9,710.78 = 5,042.13 : x
  2. Step 2: Convert to fraction form
    6,486.09/9,710.78 = 5,042.13/x
  3. Step 3: Cross multiply
    6,486.09x = 9,710.78 × 5,042.13
  4. Step 4: Simplify right side
    6,486.09x = 48,962,989.95
  5. Step 5: Solve for x
    x = 48,962,989.95/6,486.09
  6. Step 6: Final answer
    x = 7,548.92

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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.