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Finding the Fourth Proportional to 4,076, 6,114.72 and 1,479.20

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Solution

The fourth proportional to 4,076, 6,114.72 and 1,479.20 is: 2,219.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076 : 6,114.72 = 1,479.20 : x
  2. Step 2: Convert to fraction form
    4,076/6,114.72 = 1,479.20/x
  3. Step 3: Cross multiply
    4,076x = 6,114.72 × 1,479.20
  4. Step 4: Simplify right side
    4,076x = 9,044,893.82
  5. Step 5: Solve for x
    x = 9,044,893.82/4,076
  6. Step 6: Final answer
    x = 2,219.06

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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.