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Finding the Fourth Proportional to 2,902, 4,347.24 and 1,436.72

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Solution

The fourth proportional to 2,902, 4,347.24 and 1,436.72 is: 2,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902 : 4,347.24 = 1,436.72 : x
  2. Step 2: Convert to fraction form
    2,902/4,347.24 = 1,436.72/x
  3. Step 3: Cross multiply
    2,902x = 4,347.24 × 1,436.72
  4. Step 4: Simplify right side
    2,902x = 6,245,766.65
  5. Step 5: Solve for x
    x = 6,245,766.65/2,902
  6. Step 6: Final answer
    x = 2,152.23

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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.