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Finding the Fourth Proportional to 10,959.28, 15,122.64 and 6,483.28

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Solution

The fourth proportional to 10,959.28, 15,122.64 and 6,483.28 is: 8,946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.28 : 15,122.64 = 6,483.28 : x
  2. Step 2: Convert to fraction form
    10,959.28/15,122.64 = 6,483.28/x
  3. Step 3: Cross multiply
    10,959.28x = 15,122.64 × 6,483.28
  4. Step 4: Simplify right side
    10,959.28x = 98,044,309.46
  5. Step 5: Solve for x
    x = 98,044,309.46/10,959.28
  6. Step 6: Final answer
    x = 8,946.24

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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.