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Finding the Fourth Proportional to 3,494.69, 5,242.34 and 897.63

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Solution

The fourth proportional to 3,494.69, 5,242.34 and 897.63 is: 1,346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.69 : 5,242.34 = 897.63 : x
  2. Step 2: Convert to fraction form
    3,494.69/5,242.34 = 897.63/x
  3. Step 3: Cross multiply
    3,494.69x = 5,242.34 × 897.63
  4. Step 4: Simplify right side
    3,494.69x = 4,705,681.65
  5. Step 5: Solve for x
    x = 4,705,681.65/3,494.69
  6. Step 6: Final answer
    x = 1,346.52

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1.5x scale

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.