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Finding the Fourth Proportional to 1,728.06, 2,384.78 and 981.98

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Solution

The fourth proportional to 1,728.06, 2,384.78 and 981.98 is: 1,355.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.06 : 2,384.78 = 981.98 : x
  2. Step 2: Convert to fraction form
    1,728.06/2,384.78 = 981.98/x
  3. Step 3: Cross multiply
    1,728.06x = 2,384.78 × 981.98
  4. Step 4: Simplify right side
    1,728.06x = 2,341,806.26
  5. Step 5: Solve for x
    x = 2,341,806.26/1,728.06
  6. Step 6: Final answer
    x = 1,355.16

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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.