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Finding the Fourth Proportional to 6,312.91, 8,715.88 and 5,648.61

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Solution

The fourth proportional to 6,312.91, 8,715.88 and 5,648.61 is: 7,798.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.91 : 8,715.88 = 5,648.61 : x
  2. Step 2: Convert to fraction form
    6,312.91/8,715.88 = 5,648.61/x
  3. Step 3: Cross multiply
    6,312.91x = 8,715.88 × 5,648.61
  4. Step 4: Simplify right side
    6,312.91x = 49,232,606.27
  5. Step 5: Solve for x
    x = 49,232,606.27/6,312.91
  6. Step 6: Final answer
    x = 7,798.72

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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.