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Finding the Fourth Proportional to 42,642.56, 63,963.84 and 11,477

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Solution

The fourth proportional to 42,642.56, 63,963.84 and 11,477 is: 17,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,642.56 : 63,963.84 = 11,477 : x
  2. Step 2: Convert to fraction form
    42,642.56/63,963.84 = 11,477/x
  3. Step 3: Cross multiply
    42,642.56x = 63,963.84 × 11,477
  4. Step 4: Simplify right side
    42,642.56x = 734,112,991.68
  5. Step 5: Solve for x
    x = 734,112,991.68/42,642.56
  6. Step 6: Final answer
    x = 17,215.50

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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.