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Finding the Fourth Proportional to 6,312.66, 8,710.11 and 4,222.86

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Solution

The fourth proportional to 6,312.66, 8,710.11 and 4,222.86 is: 5,826.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.66 : 8,710.11 = 4,222.86 : x
  2. Step 2: Convert to fraction form
    6,312.66/8,710.11 = 4,222.86/x
  3. Step 3: Cross multiply
    6,312.66x = 8,710.11 × 4,222.86
  4. Step 4: Simplify right side
    6,312.66x = 36,781,575.11
  5. Step 5: Solve for x
    x = 36,781,575.11/6,312.66
  6. Step 6: Final answer
    x = 5,826.64

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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.