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Finding the Fourth Proportional to 1,923.40, 2,884.72 and 948.88

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Solution

The fourth proportional to 1,923.40, 2,884.72 and 948.88 is: 1,423.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.40 : 2,884.72 = 948.88 : x
  2. Step 2: Convert to fraction form
    1,923.40/2,884.72 = 948.88/x
  3. Step 3: Cross multiply
    1,923.40x = 2,884.72 × 948.88
  4. Step 4: Simplify right side
    1,923.40x = 2,737,253.11
  5. Step 5: Solve for x
    x = 2,737,253.11/1,923.40
  6. Step 6: Final answer
    x = 1,423.13

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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.