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Finding the Fourth Proportional to 1,430, 1,974.21 and 1,080.08

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Solution

The fourth proportional to 1,430, 1,974.21 and 1,080.08 is: 1,491.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430 : 1,974.21 = 1,080.08 : x
  2. Step 2: Convert to fraction form
    1,430/1,974.21 = 1,080.08/x
  3. Step 3: Cross multiply
    1,430x = 1,974.21 × 1,080.08
  4. Step 4: Simplify right side
    1,430x = 2,132,304.74
  5. Step 5: Solve for x
    x = 2,132,304.74/1,430
  6. Step 6: Final answer
    x = 1,491.12

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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.