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Finding the Fourth Proportional to 3,054.71, 4,580.78 and 974.18

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Solution

The fourth proportional to 3,054.71, 4,580.78 and 974.18 is: 1,460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.71 : 4,580.78 = 974.18 : x
  2. Step 2: Convert to fraction form
    3,054.71/4,580.78 = 974.18/x
  3. Step 3: Cross multiply
    3,054.71x = 4,580.78 × 974.18
  4. Step 4: Simplify right side
    3,054.71x = 4,462,476.49
  5. Step 5: Solve for x
    x = 4,462,476.49/3,054.71
  6. Step 6: Final answer
    x = 1,460.85

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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.