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Finding the Fourth Proportional to 1,470.72, 2,202.24 and 1,386.24

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Solution

The fourth proportional to 1,470.72, 2,202.24 and 1,386.24 is: 2,075.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.72 : 2,202.24 = 1,386.24 : x
  2. Step 2: Convert to fraction form
    1,470.72/2,202.24 = 1,386.24/x
  3. Step 3: Cross multiply
    1,470.72x = 2,202.24 × 1,386.24
  4. Step 4: Simplify right side
    1,470.72x = 3,052,833.18
  5. Step 5: Solve for x
    x = 3,052,833.18/1,470.72
  6. Step 6: Final answer
    x = 2,075.74

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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.