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Finding the Fourth Proportional to 7,807.68, 10,758.96 and 5,679.72

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Solution

The fourth proportional to 7,807.68, 10,758.96 and 5,679.72 is: 7,826.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.68 : 10,758.96 = 5,679.72 : x
  2. Step 2: Convert to fraction form
    7,807.68/10,758.96 = 5,679.72/x
  3. Step 3: Cross multiply
    7,807.68x = 10,758.96 × 5,679.72
  4. Step 4: Simplify right side
    7,807.68x = 61,107,880.29
  5. Step 5: Solve for x
    x = 61,107,880.29/7,807.68
  6. Step 6: Final answer
    x = 7,826.64

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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.