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Finding the Fourth Proportional to 1,670.90, 2,305.31 and 972.14

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Solution

The fourth proportional to 1,670.90, 2,305.31 and 972.14 is: 1,341.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.90 : 2,305.31 = 972.14 : x
  2. Step 2: Convert to fraction form
    1,670.90/2,305.31 = 972.14/x
  3. Step 3: Cross multiply
    1,670.90x = 2,305.31 × 972.14
  4. Step 4: Simplify right side
    1,670.90x = 2,241,067.68
  5. Step 5: Solve for x
    x = 2,241,067.68/1,670.90
  6. Step 6: Final answer
    x = 1,341.24

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1.5x scale

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.