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Finding the Fourth Proportional to 5,102.50, 7,041.45 and 2,894.50

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Solution

The fourth proportional to 5,102.50, 7,041.45 and 2,894.50 is: 3,994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.50 : 7,041.45 = 2,894.50 : x
  2. Step 2: Convert to fraction form
    5,102.50/7,041.45 = 2,894.50/x
  3. Step 3: Cross multiply
    5,102.50x = 7,041.45 × 2,894.50
  4. Step 4: Simplify right side
    5,102.50x = 20,381,477.03
  5. Step 5: Solve for x
    x = 20,381,477.03/5,102.50
  6. Step 6: Final answer
    x = 3,994.41

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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.