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Finding the Fourth Proportional to 38,643.84, 57,619.62 and 37,944

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Solution

The fourth proportional to 38,643.84, 57,619.62 and 37,944 is: 56,576.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643.84 : 57,619.62 = 37,944 : x
  2. Step 2: Convert to fraction form
    38,643.84/57,619.62 = 37,944/x
  3. Step 3: Cross multiply
    38,643.84x = 57,619.62 × 37,944
  4. Step 4: Simplify right side
    38,643.84x = 2,186,318,861.28
  5. Step 5: Solve for x
    x = 2,186,318,861.28/38,643.84
  6. Step 6: Final answer
    x = 56,576.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.