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Finding the Fourth Proportional to 1,981.54, 2,732.88 and 1,670.50

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Solution

The fourth proportional to 1,981.54, 2,732.88 and 1,670.50 is: 2,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.54 : 2,732.88 = 1,670.50 : x
  2. Step 2: Convert to fraction form
    1,981.54/2,732.88 = 1,670.50/x
  3. Step 3: Cross multiply
    1,981.54x = 2,732.88 × 1,670.50
  4. Step 4: Simplify right side
    1,981.54x = 4,565,276.04
  5. Step 5: Solve for x
    x = 4,565,276.04/1,981.54
  6. Step 6: Final answer
    x = 2,303.90

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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.