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Finding the Fourth Proportional to 1,953.46, 2,931.32 and 979.57

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Solution

The fourth proportional to 1,953.46, 2,931.32 and 979.57 is: 1,469.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.46 : 2,931.32 = 979.57 : x
  2. Step 2: Convert to fraction form
    1,953.46/2,931.32 = 979.57/x
  3. Step 3: Cross multiply
    1,953.46x = 2,931.32 × 979.57
  4. Step 4: Simplify right side
    1,953.46x = 2,871,433.13
  5. Step 5: Solve for x
    x = 2,871,433.13/1,953.46
  6. Step 6: Final answer
    x = 1,469.92

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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.