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Finding the Fourth Proportional to 51,932.90, 77,899.30 and 12,490

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Solution

The fourth proportional to 51,932.90, 77,899.30 and 12,490 is: 18,734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,932.90 : 77,899.30 = 12,490 : x
  2. Step 2: Convert to fraction form
    51,932.90/77,899.30 = 12,490/x
  3. Step 3: Cross multiply
    51,932.90x = 77,899.30 × 12,490
  4. Step 4: Simplify right side
    51,932.90x = 972,962,257
  5. Step 5: Solve for x
    x = 972,962,257/51,932.90
  6. Step 6: Final answer
    x = 18,734.99

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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.