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Finding the Fourth Proportional to 11,523.46, 15,903.64 and 6,488.88

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Solution

The fourth proportional to 11,523.46, 15,903.64 and 6,488.88 is: 8,955.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.46 : 15,903.64 = 6,488.88 : x
  2. Step 2: Convert to fraction form
    11,523.46/15,903.64 = 6,488.88/x
  3. Step 3: Cross multiply
    11,523.46x = 15,903.64 × 6,488.88
  4. Step 4: Simplify right side
    11,523.46x = 103,196,811.52
  5. Step 5: Solve for x
    x = 103,196,811.52/11,523.46
  6. Step 6: Final answer
    x = 8,955.37

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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.