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Finding the Fourth Proportional to 2,972.55, 4,109.95 and 2,603.50

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Solution

The fourth proportional to 2,972.55, 4,109.95 and 2,603.50 is: 3,599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.55 : 4,109.95 = 2,603.50 : x
  2. Step 2: Convert to fraction form
    2,972.55/4,109.95 = 2,603.50/x
  3. Step 3: Cross multiply
    2,972.55x = 4,109.95 × 2,603.50
  4. Step 4: Simplify right side
    2,972.55x = 10,700,254.83
  5. Step 5: Solve for x
    x = 10,700,254.83/2,972.55
  6. Step 6: Final answer
    x = 3,599.69

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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.