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Finding the Fourth Proportional to 1,728.16, 2,384.97 and 981.83

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Solution

The fourth proportional to 1,728.16, 2,384.97 and 981.83 is: 1,354.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.16 : 2,384.97 = 981.83 : x
  2. Step 2: Convert to fraction form
    1,728.16/2,384.97 = 981.83/x
  3. Step 3: Cross multiply
    1,728.16x = 2,384.97 × 981.83
  4. Step 4: Simplify right side
    1,728.16x = 2,341,641.06
  5. Step 5: Solve for x
    x = 2,341,641.06/1,728.16
  6. Step 6: Final answer
    x = 1,354.99

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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.