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Finding the Fourth Proportional to 1,465.02, 2,021.99 and 867.47

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Solution

The fourth proportional to 1,465.02, 2,021.99 and 867.47 is: 1,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.02 : 2,021.99 = 867.47 : x
  2. Step 2: Convert to fraction form
    1,465.02/2,021.99 = 867.47/x
  3. Step 3: Cross multiply
    1,465.02x = 2,021.99 × 867.47
  4. Step 4: Simplify right side
    1,465.02x = 1,754,001.22
  5. Step 5: Solve for x
    x = 1,754,001.22/1,465.02
  6. Step 6: Final answer
    x = 1,197.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.