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Finding the Fourth Proportional to 10,581, 15,873.66 and 4,425

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Solution

The fourth proportional to 10,581, 15,873.66 and 4,425 is: 6,638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581 : 15,873.66 = 4,425 : x
  2. Step 2: Convert to fraction form
    10,581/15,873.66 = 4,425/x
  3. Step 3: Cross multiply
    10,581x = 15,873.66 × 4,425
  4. Step 4: Simplify right side
    10,581x = 70,240,945.50
  5. Step 5: Solve for x
    x = 70,240,945.50/10,581
  6. Step 6: Final answer
    x = 6,638.40

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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.