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Finding the Fourth Proportional to 10,127.79, 13,977.03 and 5,652.41

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Solution

The fourth proportional to 10,127.79, 13,977.03 and 5,652.41 is: 7,800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,127.79 : 13,977.03 = 5,652.41 : x
  2. Step 2: Convert to fraction form
    10,127.79/13,977.03 = 5,652.41/x
  3. Step 3: Cross multiply
    10,127.79x = 13,977.03 × 5,652.41
  4. Step 4: Simplify right side
    10,127.79x = 79,003,834.26
  5. Step 5: Solve for x
    x = 79,003,834.26/10,127.79
  6. Step 6: Final answer
    x = 7,800.70

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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.