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Finding the Fourth Proportional to 10,696.46, 14,762.86 and 6,391.71

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Solution

The fourth proportional to 10,696.46, 14,762.86 and 6,391.71 is: 8,821.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.46 : 14,762.86 = 6,391.71 : x
  2. Step 2: Convert to fraction form
    10,696.46/14,762.86 = 6,391.71/x
  3. Step 3: Cross multiply
    10,696.46x = 14,762.86 × 6,391.71
  4. Step 4: Simplify right side
    10,696.46x = 94,359,903.91
  5. Step 5: Solve for x
    x = 94,359,903.91/10,696.46
  6. Step 6: Final answer
    x = 8,821.61

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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.