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Finding the Fourth Proportional to 6,983.57, 9,626.08 and 5,722.40

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Solution

The fourth proportional to 6,983.57, 9,626.08 and 5,722.40 is: 7,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.57 : 9,626.08 = 5,722.40 : x
  2. Step 2: Convert to fraction form
    6,983.57/9,626.08 = 5,722.40/x
  3. Step 3: Cross multiply
    6,983.57x = 9,626.08 × 5,722.40
  4. Step 4: Simplify right side
    6,983.57x = 55,084,280.19
  5. Step 5: Solve for x
    x = 55,084,280.19/6,983.57
  6. Step 6: Final answer
    x = 7,887.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.