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Finding the Fourth Proportional to 6,710.78, 9,260.88 and 3,726.50

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Solution

The fourth proportional to 6,710.78, 9,260.88 and 3,726.50 is: 5,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.78 : 9,260.88 = 3,726.50 : x
  2. Step 2: Convert to fraction form
    6,710.78/9,260.88 = 3,726.50/x
  3. Step 3: Cross multiply
    6,710.78x = 9,260.88 × 3,726.50
  4. Step 4: Simplify right side
    6,710.78x = 34,510,669.32
  5. Step 5: Solve for x
    x = 34,510,669.32/6,710.78
  6. Step 6: Final answer
    x = 5,142.57

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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.