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Finding the Fourth Proportional to 7,911.10, 10,895.08 and 7,738.86

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Solution

The fourth proportional to 7,911.10, 10,895.08 and 7,738.86 is: 10,657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.10 : 10,895.08 = 7,738.86 : x
  2. Step 2: Convert to fraction form
    7,911.10/10,895.08 = 7,738.86/x
  3. Step 3: Cross multiply
    7,911.10x = 10,895.08 × 7,738.86
  4. Step 4: Simplify right side
    7,911.10x = 84,315,498.81
  5. Step 5: Solve for x
    x = 84,315,498.81/7,911.10
  6. Step 6: Final answer
    x = 10,657.87

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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.