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Finding the Fourth Proportional to 1,603.52, 2,213.16 and 1,106

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Solution

The fourth proportional to 1,603.52, 2,213.16 and 1,106 is: 1,526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.52 : 2,213.16 = 1,106 : x
  2. Step 2: Convert to fraction form
    1,603.52/2,213.16 = 1,106/x
  3. Step 3: Cross multiply
    1,603.52x = 2,213.16 × 1,106
  4. Step 4: Simplify right side
    1,603.52x = 2,447,754.96
  5. Step 5: Solve for x
    x = 2,447,754.96/1,603.52
  6. Step 6: Final answer
    x = 1,526.49

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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.