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Finding the Fourth Proportional to 5,730.38, 8,595.16 and 1,781.53

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Solution

The fourth proportional to 5,730.38, 8,595.16 and 1,781.53 is: 2,672.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.38 : 8,595.16 = 1,781.53 : x
  2. Step 2: Convert to fraction form
    5,730.38/8,595.16 = 1,781.53/x
  3. Step 3: Cross multiply
    5,730.38x = 8,595.16 × 1,781.53
  4. Step 4: Simplify right side
    5,730.38x = 15,312,535.39
  5. Step 5: Solve for x
    x = 15,312,535.39/5,730.38
  6. Step 6: Final answer
    x = 2,672.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.