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Finding the Fourth Proportional to 2,678.64, 4,018 and 947.28

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Solution

The fourth proportional to 2,678.64, 4,018 and 947.28 is: 1,420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.64 : 4,018 = 947.28 : x
  2. Step 2: Convert to fraction form
    2,678.64/4,018 = 947.28/x
  3. Step 3: Cross multiply
    2,678.64x = 4,018 × 947.28
  4. Step 4: Simplify right side
    2,678.64x = 3,806,171.04
  5. Step 5: Solve for x
    x = 3,806,171.04/2,678.64
  6. Step 6: Final answer
    x = 1,420.93

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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.