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Finding the Fourth Proportional to 12,670.98, 19,009.20 and 3,787.02

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Solution

The fourth proportional to 12,670.98, 19,009.20 and 3,787.02 is: 5,681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670.98 : 19,009.20 = 3,787.02 : x
  2. Step 2: Convert to fraction form
    12,670.98/19,009.20 = 3,787.02/x
  3. Step 3: Cross multiply
    12,670.98x = 19,009.20 × 3,787.02
  4. Step 4: Simplify right side
    12,670.98x = 71,988,220.58
  5. Step 5: Solve for x
    x = 71,988,220.58/12,670.98
  6. Step 6: Final answer
    x = 5,681.35

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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.