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Finding the Fourth Proportional to 57,748, 86,622 and 13,972

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Solution

The fourth proportional to 57,748, 86,622 and 13,972 is: 20,958

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,748 : 86,622 = 13,972 : x
  2. Step 2: Convert to fraction form
    57,748/86,622 = 13,972/x
  3. Step 3: Cross multiply
    57,748x = 86,622 × 13,972
  4. Step 4: Simplify right side
    57,748x = 1,210,282,584
  5. Step 5: Solve for x
    x = 1,210,282,584/57,748
  6. Step 6: Final answer
    x = 20,958

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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.