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Finding the Fourth Proportional to 1,502.01, 2,239.04 and 1,419.93

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Solution

The fourth proportional to 1,502.01, 2,239.04 and 1,419.93 is: 2,116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.01 : 2,239.04 = 1,419.93 : x
  2. Step 2: Convert to fraction form
    1,502.01/2,239.04 = 1,419.93/x
  3. Step 3: Cross multiply
    1,502.01x = 2,239.04 × 1,419.93
  4. Step 4: Simplify right side
    1,502.01x = 3,179,283.62
  5. Step 5: Solve for x
    x = 3,179,283.62/1,502.01
  6. Step 6: Final answer
    x = 2,116.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.