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Finding the Fourth Proportional to 19,848.66, 29,787.57 and 9,978

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Solution

The fourth proportional to 19,848.66, 29,787.57 and 9,978 is: 14,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,848.66 : 29,787.57 = 9,978 : x
  2. Step 2: Convert to fraction form
    19,848.66/29,787.57 = 9,978/x
  3. Step 3: Cross multiply
    19,848.66x = 29,787.57 × 9,978
  4. Step 4: Simplify right side
    19,848.66x = 297,220,373.46
  5. Step 5: Solve for x
    x = 297,220,373.46/19,848.66
  6. Step 6: Final answer
    x = 14,974.33

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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.