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Finding the Fourth Proportional to 20,547.81, 30,821.31 and 7,408.80

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Solution

The fourth proportional to 20,547.81, 30,821.31 and 7,408.80 is: 11,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,547.81 : 30,821.31 = 7,408.80 : x
  2. Step 2: Convert to fraction form
    20,547.81/30,821.31 = 7,408.80/x
  3. Step 3: Cross multiply
    20,547.81x = 30,821.31 × 7,408.80
  4. Step 4: Simplify right side
    20,547.81x = 228,348,921.53
  5. Step 5: Solve for x
    x = 228,348,921.53/20,547.81
  6. Step 6: Final answer
    x = 11,113.05

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1.5x scale

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.