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Finding the Fourth Proportional to 10,125.73, 13,973.08 and 5,876.46

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Solution

The fourth proportional to 10,125.73, 13,973.08 and 5,876.46 is: 8,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.73 : 13,973.08 = 5,876.46 : x
  2. Step 2: Convert to fraction form
    10,125.73/13,973.08 = 5,876.46/x
  3. Step 3: Cross multiply
    10,125.73x = 13,973.08 × 5,876.46
  4. Step 4: Simplify right side
    10,125.73x = 82,112,242.02
  5. Step 5: Solve for x
    x = 82,112,242.02/10,125.73
  6. Step 6: Final answer
    x = 8,109.27

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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.