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Finding the Fourth Proportional to 11,748.64, 16,213.87 and 7,762.76

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Solution

The fourth proportional to 11,748.64, 16,213.87 and 7,762.76 is: 10,713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.64 : 16,213.87 = 7,762.76 : x
  2. Step 2: Convert to fraction form
    11,748.64/16,213.87 = 7,762.76/x
  3. Step 3: Cross multiply
    11,748.64x = 16,213.87 × 7,762.76
  4. Step 4: Simplify right side
    11,748.64x = 125,864,381.48
  5. Step 5: Solve for x
    x = 125,864,381.48/11,748.64
  6. Step 6: Final answer
    x = 10,713.10

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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.