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Finding the Fourth Proportional to 20,978.46, 28,949.72 and 11,547.05

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Solution

The fourth proportional to 20,978.46, 28,949.72 and 11,547.05 is: 15,934.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.46 : 28,949.72 = 11,547.05 : x
  2. Step 2: Convert to fraction form
    20,978.46/28,949.72 = 11,547.05/x
  3. Step 3: Cross multiply
    20,978.46x = 28,949.72 × 11,547.05
  4. Step 4: Simplify right side
    20,978.46x = 334,283,661.84
  5. Step 5: Solve for x
    x = 334,283,661.84/20,978.46
  6. Step 6: Final answer
    x = 15,934.61

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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.