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Finding the Fourth Proportional to 1,603.52, 2,394.58 and 1,521.52

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Solution

The fourth proportional to 1,603.52, 2,394.58 and 1,521.52 is: 2,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.52 : 2,394.58 = 1,521.52 : x
  2. Step 2: Convert to fraction form
    1,603.52/2,394.58 = 1,521.52/x
  3. Step 3: Cross multiply
    1,603.52x = 2,394.58 × 1,521.52
  4. Step 4: Simplify right side
    1,603.52x = 3,643,401.36
  5. Step 5: Solve for x
    x = 3,643,401.36/1,603.52
  6. Step 6: Final answer
    x = 2,272.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.