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Finding the Fourth Proportional to 11,496.60, 15,865.88 and 6,460.56

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Solution

The fourth proportional to 11,496.60, 15,865.88 and 6,460.56 is: 8,915.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.60 : 15,865.88 = 6,460.56 : x
  2. Step 2: Convert to fraction form
    11,496.60/15,865.88 = 6,460.56/x
  3. Step 3: Cross multiply
    11,496.60x = 15,865.88 × 6,460.56
  4. Step 4: Simplify right side
    11,496.60x = 102,502,437.39
  5. Step 5: Solve for x
    x = 102,502,437.39/11,496.60
  6. Step 6: Final answer
    x = 8,915.89

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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.