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Finding the Fourth Proportional to 7,143.95, 10,707.65 and 4,224.71

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Solution

The fourth proportional to 7,143.95, 10,707.65 and 4,224.71 is: 6,332.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.95 : 10,707.65 = 4,224.71 : x
  2. Step 2: Convert to fraction form
    7,143.95/10,707.65 = 4,224.71/x
  3. Step 3: Cross multiply
    7,143.95x = 10,707.65 × 4,224.71
  4. Step 4: Simplify right side
    7,143.95x = 45,236,694.91
  5. Step 5: Solve for x
    x = 45,236,694.91/7,143.95
  6. Step 6: Final answer
    x = 6,332.17

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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.