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Finding the Fourth Proportional to 10,415.82, 15,634.53 and 6,977.10

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Solution

The fourth proportional to 10,415.82, 15,634.53 and 6,977.10 is: 10,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.82 : 15,634.53 = 6,977.10 : x
  2. Step 2: Convert to fraction form
    10,415.82/15,634.53 = 6,977.10/x
  3. Step 3: Cross multiply
    10,415.82x = 15,634.53 × 6,977.10
  4. Step 4: Simplify right side
    10,415.82x = 109,083,679.26
  5. Step 5: Solve for x
    x = 109,083,679.26/10,415.82
  6. Step 6: Final answer
    x = 10,472.88

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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.