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Finding the Fourth Proportional to 7,143.45, 9,876.78 and 6,256.71

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Solution

The fourth proportional to 7,143.45, 9,876.78 and 6,256.71 is: 8,650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.45 : 9,876.78 = 6,256.71 : x
  2. Step 2: Convert to fraction form
    7,143.45/9,876.78 = 6,256.71/x
  3. Step 3: Cross multiply
    7,143.45x = 9,876.78 × 6,256.71
  4. Step 4: Simplify right side
    7,143.45x = 61,796,148.19
  5. Step 5: Solve for x
    x = 61,796,148.19/7,143.45
  6. Step 6: Final answer
    x = 8,650.74

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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.