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Finding the Fourth Proportional to 8,902.32, 13,353.48 and 3,970.77

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Solution

The fourth proportional to 8,902.32, 13,353.48 and 3,970.77 is: 5,956.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.32 : 13,353.48 = 3,970.77 : x
  2. Step 2: Convert to fraction form
    8,902.32/13,353.48 = 3,970.77/x
  3. Step 3: Cross multiply
    8,902.32x = 13,353.48 × 3,970.77
  4. Step 4: Simplify right side
    8,902.32x = 53,023,597.78
  5. Step 5: Solve for x
    x = 53,023,597.78/8,902.32
  6. Step 6: Final answer
    x = 5,956.16

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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.