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Finding the Fourth Proportional to 1,888.62, 2,829.15 and 1,475.70

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Solution

The fourth proportional to 1,888.62, 2,829.15 and 1,475.70 is: 2,210.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.62 : 2,829.15 = 1,475.70 : x
  2. Step 2: Convert to fraction form
    1,888.62/2,829.15 = 1,475.70/x
  3. Step 3: Cross multiply
    1,888.62x = 2,829.15 × 1,475.70
  4. Step 4: Simplify right side
    1,888.62x = 4,174,976.66
  5. Step 5: Solve for x
    x = 4,174,976.66/1,888.62
  6. Step 6: Final answer
    x = 2,210.60

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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.