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Finding the Fourth Proportional to 1,671.13, 2,305.74 and 972.10

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Solution

The fourth proportional to 1,671.13, 2,305.74 and 972.10 is: 1,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.13 : 2,305.74 = 972.10 : x
  2. Step 2: Convert to fraction form
    1,671.13/2,305.74 = 972.10/x
  3. Step 3: Cross multiply
    1,671.13x = 2,305.74 × 972.10
  4. Step 4: Simplify right side
    1,671.13x = 2,241,409.85
  5. Step 5: Solve for x
    x = 2,241,409.85/1,671.13
  6. Step 6: Final answer
    x = 1,341.25

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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.