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Finding the Fourth Proportional to 42,670.71, 64,006.02 and 11,505.96

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Solution

The fourth proportional to 42,670.71, 64,006.02 and 11,505.96 is: 17,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,670.71 : 64,006.02 = 11,505.96 : x
  2. Step 2: Convert to fraction form
    42,670.71/64,006.02 = 11,505.96/x
  3. Step 3: Cross multiply
    42,670.71x = 64,006.02 × 11,505.96
  4. Step 4: Simplify right side
    42,670.71x = 736,450,705.88
  5. Step 5: Solve for x
    x = 736,450,705.88/42,670.71
  6. Step 6: Final answer
    x = 17,258.93

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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.