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Finding the Fourth Proportional to 1,953.73, 2,932.35 and 980.38

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Solution

The fourth proportional to 1,953.73, 2,932.35 and 980.38 is: 1,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.73 : 2,932.35 = 980.38 : x
  2. Step 2: Convert to fraction form
    1,953.73/2,932.35 = 980.38/x
  3. Step 3: Cross multiply
    1,953.73x = 2,932.35 × 980.38
  4. Step 4: Simplify right side
    1,953.73x = 2,874,817.29
  5. Step 5: Solve for x
    x = 2,874,817.29/1,953.73
  6. Step 6: Final answer
    x = 1,471.45

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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.