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Finding the Fourth Proportional to 57,971.84, 86,963.20 and 17,991.20

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Solution

The fourth proportional to 57,971.84, 86,963.20 and 17,991.20 is: 26,988.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,971.84 : 86,963.20 = 17,991.20 : x
  2. Step 2: Convert to fraction form
    57,971.84/86,963.20 = 17,991.20/x
  3. Step 3: Cross multiply
    57,971.84x = 86,963.20 × 17,991.20
  4. Step 4: Simplify right side
    57,971.84x = 1,564,572,323.84
  5. Step 5: Solve for x
    x = 1,564,572,323.84/57,971.84
  6. Step 6: Final answer
    x = 26,988.49

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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.