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Finding the Fourth Proportional to 30,596.47, 45,840.39 and 12,787.88

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Solution

The fourth proportional to 30,596.47, 45,840.39 and 12,787.88 is: 19,159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.47 : 45,840.39 = 12,787.88 : x
  2. Step 2: Convert to fraction form
    30,596.47/45,840.39 = 12,787.88/x
  3. Step 3: Cross multiply
    30,596.47x = 45,840.39 × 12,787.88
  4. Step 4: Simplify right side
    30,596.47x = 586,201,219.23
  5. Step 5: Solve for x
    x = 586,201,219.23/30,596.47
  6. Step 6: Final answer
    x = 19,159.11

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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.