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Finding the Fourth Proportional to 7,126.74, 9,834.93 and 4,144.32

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Solution

The fourth proportional to 7,126.74, 9,834.93 and 4,144.32 is: 5,719.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.74 : 9,834.93 = 4,144.32 : x
  2. Step 2: Convert to fraction form
    7,126.74/9,834.93 = 4,144.32/x
  3. Step 3: Cross multiply
    7,126.74x = 9,834.93 × 4,144.32
  4. Step 4: Simplify right side
    7,126.74x = 40,759,097.10
  5. Step 5: Solve for x
    x = 40,759,097.10/7,126.74
  6. Step 6: Final answer
    x = 5,719.18

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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.