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Finding the Fourth Proportional to 3,510.94, 5,264.95 and 1,429.53

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Solution

The fourth proportional to 3,510.94, 5,264.95 and 1,429.53 is: 2,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.94 : 5,264.95 = 1,429.53 : x
  2. Step 2: Convert to fraction form
    3,510.94/5,264.95 = 1,429.53/x
  3. Step 3: Cross multiply
    3,510.94x = 5,264.95 × 1,429.53
  4. Step 4: Simplify right side
    3,510.94x = 7,526,400.40
  5. Step 5: Solve for x
    x = 7,526,400.40/3,510.94
  6. Step 6: Final answer
    x = 2,143.70

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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.