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Finding the Fourth Proportional to 39,422, 59,132.76 and 11,342.72

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Solution

The fourth proportional to 39,422, 59,132.76 and 11,342.72 is: 17,014.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,422 : 59,132.76 = 11,342.72 : x
  2. Step 2: Convert to fraction form
    39,422/59,132.76 = 11,342.72/x
  3. Step 3: Cross multiply
    39,422x = 59,132.76 × 11,342.72
  4. Step 4: Simplify right side
    39,422x = 670,726,339.51
  5. Step 5: Solve for x
    x = 670,726,339.51/39,422
  6. Step 6: Final answer
    x = 17,014.01

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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.