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Finding the Fourth Proportional to 6,916.86, 10,331.18 and 6,257.72

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Solution

The fourth proportional to 6,916.86, 10,331.18 and 6,257.72 is: 9,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916.86 : 10,331.18 = 6,257.72 : x
  2. Step 2: Convert to fraction form
    6,916.86/10,331.18 = 6,257.72/x
  3. Step 3: Cross multiply
    6,916.86x = 10,331.18 × 6,257.72
  4. Step 4: Simplify right side
    6,916.86x = 64,649,548.77
  5. Step 5: Solve for x
    x = 64,649,548.77/6,916.86
  6. Step 6: Final answer
    x = 9,346.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.