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Finding the Fourth Proportional to 37,905, 56,877.98 and 18,449

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Solution

The fourth proportional to 37,905, 56,877.98 and 18,449 is: 27,683.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,905 : 56,877.98 = 18,449 : x
  2. Step 2: Convert to fraction form
    37,905/56,877.98 = 18,449/x
  3. Step 3: Cross multiply
    37,905x = 56,877.98 × 18,449
  4. Step 4: Simplify right side
    37,905x = 1,049,341,853.02
  5. Step 5: Solve for x
    x = 1,049,341,853.02/37,905
  6. Step 6: Final answer
    x = 27,683.47

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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.