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Finding the Fourth Proportional to 8,378.64, 12,586.32 and 7,271.28

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Solution

The fourth proportional to 8,378.64, 12,586.32 and 7,271.28 is: 10,922.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.64 : 12,586.32 = 7,271.28 : x
  2. Step 2: Convert to fraction form
    8,378.64/12,586.32 = 7,271.28/x
  3. Step 3: Cross multiply
    8,378.64x = 12,586.32 × 7,271.28
  4. Step 4: Simplify right side
    8,378.64x = 91,518,656.89
  5. Step 5: Solve for x
    x = 91,518,656.89/8,378.64
  6. Step 6: Final answer
    x = 10,922.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.