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Finding the Fourth Proportional to 14,521.95, 21,780.31 and 3,848.38

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Solution

The fourth proportional to 14,521.95, 21,780.31 and 3,848.38 is: 5,771.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,521.95 : 21,780.31 = 3,848.38 : x
  2. Step 2: Convert to fraction form
    14,521.95/21,780.31 = 3,848.38/x
  3. Step 3: Cross multiply
    14,521.95x = 21,780.31 × 3,848.38
  4. Step 4: Simplify right side
    14,521.95x = 83,818,909.40
  5. Step 5: Solve for x
    x = 83,818,909.40/14,521.95
  6. Step 6: Final answer
    x = 5,771.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.