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Finding the Fourth Proportional to 51,978.52, 77,967.10 and 12,535.34

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Solution

The fourth proportional to 51,978.52, 77,967.10 and 12,535.34 is: 18,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.52 : 77,967.10 = 12,535.34 : x
  2. Step 2: Convert to fraction form
    51,978.52/77,967.10 = 12,535.34/x
  3. Step 3: Cross multiply
    51,978.52x = 77,967.10 × 12,535.34
  4. Step 4: Simplify right side
    51,978.52x = 977,344,107.31
  5. Step 5: Solve for x
    x = 977,344,107.31/51,978.52
  6. Step 6: Final answer
    x = 18,802.85

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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.