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Finding the Fourth Proportional to 1,493, 2,225.04 and 1,415.24

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Solution

The fourth proportional to 1,493, 2,225.04 and 1,415.24 is: 2,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493 : 2,225.04 = 1,415.24 : x
  2. Step 2: Convert to fraction form
    1,493/2,225.04 = 1,415.24/x
  3. Step 3: Cross multiply
    1,493x = 2,225.04 × 1,415.24
  4. Step 4: Simplify right side
    1,493x = 3,148,958.53
  5. Step 5: Solve for x
    x = 3,148,958.53/1,493
  6. Step 6: Final answer
    x = 2,109.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.