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Finding the Fourth Proportional to 10,644.50, 15,959.79 and 5,097.66

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Solution

The fourth proportional to 10,644.50, 15,959.79 and 5,097.66 is: 7,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.50 : 15,959.79 = 5,097.66 : x
  2. Step 2: Convert to fraction form
    10,644.50/15,959.79 = 5,097.66/x
  3. Step 3: Cross multiply
    10,644.50x = 15,959.79 × 5,097.66
  4. Step 4: Simplify right side
    10,644.50x = 81,357,583.09
  5. Step 5: Solve for x
    x = 81,357,583.09/10,644.50
  6. Step 6: Final answer
    x = 7,643.16

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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.