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Finding the Fourth Proportional to 20,547.66, 30,821.49 and 4,965.28

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Solution

The fourth proportional to 20,547.66, 30,821.49 and 4,965.28 is: 7,447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,547.66 : 30,821.49 = 4,965.28 : x
  2. Step 2: Convert to fraction form
    20,547.66/30,821.49 = 4,965.28/x
  3. Step 3: Cross multiply
    20,547.66x = 30,821.49 × 4,965.28
  4. Step 4: Simplify right side
    20,547.66x = 153,037,327.87
  5. Step 5: Solve for x
    x = 153,037,327.87/20,547.66
  6. Step 6: Final answer
    x = 7,447.92

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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.