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Finding the Fourth Proportional to 21,971.79, 32,956.65 and 7,178.76

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Solution

The fourth proportional to 21,971.79, 32,956.65 and 7,178.76 is: 10,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,971.79 : 32,956.65 = 7,178.76 : x
  2. Step 2: Convert to fraction form
    21,971.79/32,956.65 = 7,178.76/x
  3. Step 3: Cross multiply
    21,971.79x = 32,956.65 × 7,178.76
  4. Step 4: Simplify right side
    21,971.79x = 236,587,880.75
  5. Step 5: Solve for x
    x = 236,587,880.75/21,971.79
  6. Step 6: Final answer
    x = 10,767.80

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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.