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Finding the Fourth Proportional to 3,510, 5,264.29 and 1,288.08

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Solution

The fourth proportional to 3,510, 5,264.29 and 1,288.08 is: 1,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510 : 5,264.29 = 1,288.08 : x
  2. Step 2: Convert to fraction form
    3,510/5,264.29 = 1,288.08/x
  3. Step 3: Cross multiply
    3,510x = 5,264.29 × 1,288.08
  4. Step 4: Simplify right side
    3,510x = 6,780,800.34
  5. Step 5: Solve for x
    x = 6,780,800.34/3,510
  6. Step 6: Final answer
    x = 1,931.85

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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.