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Finding the Fourth Proportional to 42,709.40, 64,064.10 and 12,724.09

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Solution

The fourth proportional to 42,709.40, 64,064.10 and 12,724.09 is: 19,086.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,709.40 : 64,064.10 = 12,724.09 : x
  2. Step 2: Convert to fraction form
    42,709.40/64,064.10 = 12,724.09/x
  3. Step 3: Cross multiply
    42,709.40x = 64,064.10 × 12,724.09
  4. Step 4: Simplify right side
    42,709.40x = 815,157,261.72
  5. Step 5: Solve for x
    x = 815,157,261.72/42,709.40
  6. Step 6: Final answer
    x = 19,086.13

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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.