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Finding the Fourth Proportional to 3,870.47, 5,805.71 and 948.78

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Solution

The fourth proportional to 3,870.47, 5,805.71 and 948.78 is: 1,423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.47 : 5,805.71 = 948.78 : x
  2. Step 2: Convert to fraction form
    3,870.47/5,805.71 = 948.78/x
  3. Step 3: Cross multiply
    3,870.47x = 5,805.71 × 948.78
  4. Step 4: Simplify right side
    3,870.47x = 5,508,341.53
  5. Step 5: Solve for x
    x = 5,508,341.53/3,870.47
  6. Step 6: Final answer
    x = 1,423.17

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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.