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Finding the Fourth Proportional to 10,643.60, 15,959.94 and 5,717.39

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Solution

The fourth proportional to 10,643.60, 15,959.94 and 5,717.39 is: 8,573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.60 : 15,959.94 = 5,717.39 : x
  2. Step 2: Convert to fraction form
    10,643.60/15,959.94 = 5,717.39/x
  3. Step 3: Cross multiply
    10,643.60x = 15,959.94 × 5,717.39
  4. Step 4: Simplify right side
    10,643.60x = 91,249,100.12
  5. Step 5: Solve for x
    x = 91,249,100.12/10,643.60
  6. Step 6: Final answer
    x = 8,573.14

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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.