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Finding the Fourth Proportional to 1,591.19, 2,195.93 and 928.01

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Solution

The fourth proportional to 1,591.19, 2,195.93 and 928.01 is: 1,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.19 : 2,195.93 = 928.01 : x
  2. Step 2: Convert to fraction form
    1,591.19/2,195.93 = 928.01/x
  3. Step 3: Cross multiply
    1,591.19x = 2,195.93 × 928.01
  4. Step 4: Simplify right side
    1,591.19x = 2,037,845.00
  5. Step 5: Solve for x
    x = 2,037,845.00/1,591.19
  6. Step 6: Final answer
    x = 1,280.71

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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.