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Finding the Fourth Proportional to 2,624.76, 3,935.93 and 981.27

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Solution

The fourth proportional to 2,624.76, 3,935.93 and 981.27 is: 1,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.76 : 3,935.93 = 981.27 : x
  2. Step 2: Convert to fraction form
    2,624.76/3,935.93 = 981.27/x
  3. Step 3: Cross multiply
    2,624.76x = 3,935.93 × 981.27
  4. Step 4: Simplify right side
    2,624.76x = 3,862,205.12
  5. Step 5: Solve for x
    x = 3,862,205.12/2,624.76
  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.