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Finding the Fourth Proportional to 2,956.50, 4,434.28 and 983.00

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Solution

The fourth proportional to 2,956.50, 4,434.28 and 983.00 is: 1,474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.50 : 4,434.28 = 983.00 : x
  2. Step 2: Convert to fraction form
    2,956.50/4,434.28 = 983.00/x
  3. Step 3: Cross multiply
    2,956.50x = 4,434.28 × 983.00
  4. Step 4: Simplify right side
    2,956.50x = 4,358,905.87
  5. Step 5: Solve for x
    x = 4,358,905.87/2,956.50
  6. Step 6: Final answer
    x = 1,474.35

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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.