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Finding the Fourth Proportional to 27,712, 38,244.18 and 15,775.84

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Solution

The fourth proportional to 27,712, 38,244.18 and 15,775.84 is: 21,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,712 : 38,244.18 = 15,775.84 : x
  2. Step 2: Convert to fraction form
    27,712/38,244.18 = 15,775.84/x
  3. Step 3: Cross multiply
    27,712x = 38,244.18 × 15,775.84
  4. Step 4: Simplify right side
    27,712x = 603,334,064.61
  5. Step 5: Solve for x
    x = 603,334,064.61/27,712
  6. Step 6: Final answer
    x = 21,771.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.