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Finding the Fourth Proportional to 9,271.92, 13,856.82 and 6,778.32

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Solution

The fourth proportional to 9,271.92, 13,856.82 and 6,778.32 is: 10,130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.92 : 13,856.82 = 6,778.32 : x
  2. Step 2: Convert to fraction form
    9,271.92/13,856.82 = 6,778.32/x
  3. Step 3: Cross multiply
    9,271.92x = 13,856.82 × 6,778.32
  4. Step 4: Simplify right side
    9,271.92x = 93,925,960.14
  5. Step 5: Solve for x
    x = 93,925,960.14/9,271.92
  6. Step 6: Final answer
    x = 10,130.15

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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.