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Finding the Fourth Proportional to 11,456.64, 15,810.18 and 6,488.64

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Solution

The fourth proportional to 11,456.64, 15,810.18 and 6,488.64 is: 8,954.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.64 : 15,810.18 = 6,488.64 : x
  2. Step 2: Convert to fraction form
    11,456.64/15,810.18 = 6,488.64/x
  3. Step 3: Cross multiply
    11,456.64x = 15,810.18 × 6,488.64
  4. Step 4: Simplify right side
    11,456.64x = 102,586,566.36
  5. Step 5: Solve for x
    x = 102,586,566.36/11,456.64
  6. Step 6: Final answer
    x = 8,954.33

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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.