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Finding the Fourth Proportional to 42,576.88, 63,865.32 and 12,994.87

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Solution

The fourth proportional to 42,576.88, 63,865.32 and 12,994.87 is: 19,492.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,576.88 : 63,865.32 = 12,994.87 : x
  2. Step 2: Convert to fraction form
    42,576.88/63,865.32 = 12,994.87/x
  3. Step 3: Cross multiply
    42,576.88x = 63,865.32 × 12,994.87
  4. Step 4: Simplify right side
    42,576.88x = 829,921,530.91
  5. Step 5: Solve for x
    x = 829,921,530.91/42,576.88
  6. Step 6: Final answer
    x = 19,492.31

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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.