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Finding the Fourth Proportional to 3,603.71, 4,973.07 and 2,031.80

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Solution

The fourth proportional to 3,603.71, 4,973.07 and 2,031.80 is: 2,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.71 : 4,973.07 = 2,031.80 : x
  2. Step 2: Convert to fraction form
    3,603.71/4,973.07 = 2,031.80/x
  3. Step 3: Cross multiply
    3,603.71x = 4,973.07 × 2,031.80
  4. Step 4: Simplify right side
    3,603.71x = 10,104,258.76
  5. Step 5: Solve for x
    x = 10,104,258.76/3,603.71
  6. Step 6: Final answer
    x = 2,803.85

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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.