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Finding the Fourth Proportional to 1,888.65, 2,829.22 and 1,475.86

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Solution

The fourth proportional to 1,888.65, 2,829.22 and 1,475.86 is: 2,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.65 : 2,829.22 = 1,475.86 : x
  2. Step 2: Convert to fraction form
    1,888.65/2,829.22 = 1,475.86/x
  3. Step 3: Cross multiply
    1,888.65x = 2,829.22 × 1,475.86
  4. Step 4: Simplify right side
    1,888.65x = 4,175,532.63
  5. Step 5: Solve for x
    x = 4,175,532.63/1,888.65
  6. Step 6: Final answer
    x = 2,210.86

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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.