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Finding the Fourth Proportional to 3,494.16, 5,242.79 and 1,415.65

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Solution

The fourth proportional to 3,494.16, 5,242.79 and 1,415.65 is: 2,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.16 : 5,242.79 = 1,415.65 : x
  2. Step 2: Convert to fraction form
    3,494.16/5,242.79 = 1,415.65/x
  3. Step 3: Cross multiply
    3,494.16x = 5,242.79 × 1,415.65
  4. Step 4: Simplify right side
    3,494.16x = 7,421,955.66
  5. Step 5: Solve for x
    x = 7,421,955.66/3,494.16
  6. Step 6: Final answer
    x = 2,124.10

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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.