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Finding the Fourth Proportional to 1,701.10, 2,549.52 and 921.10

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Solution

The fourth proportional to 1,701.10, 2,549.52 and 921.10 is: 1,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.10 : 2,549.52 = 921.10 : x
  2. Step 2: Convert to fraction form
    1,701.10/2,549.52 = 921.10/x
  3. Step 3: Cross multiply
    1,701.10x = 2,549.52 × 921.10
  4. Step 4: Simplify right side
    1,701.10x = 2,348,362.87
  5. Step 5: Solve for x
    x = 2,348,362.87/1,701.10
  6. Step 6: Final answer
    x = 1,380.50

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.