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Finding the Fourth Proportional to 1,643.03, 2,473.42 and 1,497.71

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Solution

The fourth proportional to 1,643.03, 2,473.42 and 1,497.71 is: 2,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.03 : 2,473.42 = 1,497.71 : x
  2. Step 2: Convert to fraction form
    1,643.03/2,473.42 = 1,497.71/x
  3. Step 3: Cross multiply
    1,643.03x = 2,473.42 × 1,497.71
  4. Step 4: Simplify right side
    1,643.03x = 3,704,465.87
  5. Step 5: Solve for x
    x = 3,704,465.87/1,643.03
  6. Step 6: Final answer
    x = 2,254.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.