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Finding the Fourth Proportional to 10,078.83, 13,868.01 and 9,821.25

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Solution

The fourth proportional to 10,078.83, 13,868.01 and 9,821.25 is: 13,513.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.83 : 13,868.01 = 9,821.25 : x
  2. Step 2: Convert to fraction form
    10,078.83/13,868.01 = 9,821.25/x
  3. Step 3: Cross multiply
    10,078.83x = 13,868.01 × 9,821.25
  4. Step 4: Simplify right side
    10,078.83x = 136,201,193.21
  5. Step 5: Solve for x
    x = 136,201,193.21/10,078.83
  6. Step 6: Final answer
    x = 13,513.59

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1.5x scale

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.