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Finding the Fourth Proportional to 5,102.34, 7,652.05 and 1,981.68

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Solution

The fourth proportional to 5,102.34, 7,652.05 and 1,981.68 is: 2,971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.34 : 7,652.05 = 1,981.68 : x
  2. Step 2: Convert to fraction form
    5,102.34/7,652.05 = 1,981.68/x
  3. Step 3: Cross multiply
    5,102.34x = 7,652.05 × 1,981.68
  4. Step 4: Simplify right side
    5,102.34x = 15,163,881.14
  5. Step 5: Solve for x
    x = 15,163,881.14/5,102.34
  6. Step 6: Final answer
    x = 2,971.95

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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.