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Finding the Fourth Proportional to 12,752.78, 19,117.80 and 4,959.80

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Solution

The fourth proportional to 12,752.78, 19,117.80 and 4,959.80 is: 7,435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752.78 : 19,117.80 = 4,959.80 : x
  2. Step 2: Convert to fraction form
    12,752.78/19,117.80 = 4,959.80/x
  3. Step 3: Cross multiply
    12,752.78x = 19,117.80 × 4,959.80
  4. Step 4: Simplify right side
    12,752.78x = 94,820,464.44
  5. Step 5: Solve for x
    x = 94,820,464.44/12,752.78
  6. Step 6: Final answer
    x = 7,435.28

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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.