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Finding the Fourth Proportional to 9,977.64, 13,767.85 and 5,728.88

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Solution

The fourth proportional to 9,977.64, 13,767.85 and 5,728.88 is: 7,905.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.64 : 13,767.85 = 5,728.88 : x
  2. Step 2: Convert to fraction form
    9,977.64/13,767.85 = 5,728.88/x
  3. Step 3: Cross multiply
    9,977.64x = 13,767.85 × 5,728.88
  4. Step 4: Simplify right side
    9,977.64x = 78,874,380.61
  5. Step 5: Solve for x
    x = 78,874,380.61/9,977.64
  6. Step 6: Final answer
    x = 7,905.11

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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.