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Finding the Fourth Proportional to 6,490.68, 8,959.28 and 4,254

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Solution

The fourth proportional to 6,490.68, 8,959.28 and 4,254 is: 5,871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.68 : 8,959.28 = 4,254 : x
  2. Step 2: Convert to fraction form
    6,490.68/8,959.28 = 4,254/x
  3. Step 3: Cross multiply
    6,490.68x = 8,959.28 × 4,254
  4. Step 4: Simplify right side
    6,490.68x = 38,112,777.12
  5. Step 5: Solve for x
    x = 38,112,777.12/6,490.68
  6. Step 6: Final answer
    x = 5,871.92

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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.