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Finding the Fourth Proportional to 10,603.70, 15,905.84 and 2,812.50

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Solution

The fourth proportional to 10,603.70, 15,905.84 and 2,812.50 is: 4,218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.70 : 15,905.84 = 2,812.50 : x
  2. Step 2: Convert to fraction form
    10,603.70/15,905.84 = 2,812.50/x
  3. Step 3: Cross multiply
    10,603.70x = 15,905.84 × 2,812.50
  4. Step 4: Simplify right side
    10,603.70x = 44,735,175
  5. Step 5: Solve for x
    x = 44,735,175/10,603.70
  6. Step 6: Final answer
    x = 4,218.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.