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Finding the Fourth Proportional to 1,451.65, 2,175.65 and 1,335.01

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Solution

The fourth proportional to 1,451.65, 2,175.65 and 1,335.01 is: 2,000.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.65 : 2,175.65 = 1,335.01 : x
  2. Step 2: Convert to fraction form
    1,451.65/2,175.65 = 1,335.01/x
  3. Step 3: Cross multiply
    1,451.65x = 2,175.65 × 1,335.01
  4. Step 4: Simplify right side
    1,451.65x = 2,904,514.51
  5. Step 5: Solve for x
    x = 2,904,514.51/1,451.65
  6. Step 6: Final answer
    x = 2,000.84

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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.