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Finding the Fourth Proportional to 4,047, 5,585.09 and 2,475.20

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Solution

The fourth proportional to 4,047, 5,585.09 and 2,475.20 is: 3,415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047 : 5,585.09 = 2,475.20 : x
  2. Step 2: Convert to fraction form
    4,047/5,585.09 = 2,475.20/x
  3. Step 3: Cross multiply
    4,047x = 5,585.09 × 2,475.20
  4. Step 4: Simplify right side
    4,047x = 13,824,174.47
  5. Step 5: Solve for x
    x = 13,824,174.47/4,047
  6. Step 6: Final answer
    x = 3,415.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.