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Finding the Fourth Proportional to 20,275.65, 27,978.71 and 11,775.06

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Solution

The fourth proportional to 20,275.65, 27,978.71 and 11,775.06 is: 16,248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,275.65 : 27,978.71 = 11,775.06 : x
  2. Step 2: Convert to fraction form
    20,275.65/27,978.71 = 11,775.06/x
  3. Step 3: Cross multiply
    20,275.65x = 27,978.71 × 11,775.06
  4. Step 4: Simplify right side
    20,275.65x = 329,450,930.10
  5. Step 5: Solve for x
    x = 329,450,930.10/20,275.65
  6. Step 6: Final answer
    x = 16,248.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.