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Finding the Fourth Proportional to 7,888.64, 11,803.77 and 6,488.96

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Solution

The fourth proportional to 7,888.64, 11,803.77 and 6,488.96 is: 9,709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.64 : 11,803.77 = 6,488.96 : x
  2. Step 2: Convert to fraction form
    7,888.64/11,803.77 = 6,488.96/x
  3. Step 3: Cross multiply
    7,888.64x = 11,803.77 × 6,488.96
  4. Step 4: Simplify right side
    7,888.64x = 76,594,132.36
  5. Step 5: Solve for x
    x = 76,594,132.36/7,888.64
  6. Step 6: Final answer
    x = 9,709.43

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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.