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Finding the Fourth Proportional to 25,641.70, 38,457.66 and 10,861

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Solution

The fourth proportional to 25,641.70, 38,457.66 and 10,861 is: 16,289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,641.70 : 38,457.66 = 10,861 : x
  2. Step 2: Convert to fraction form
    25,641.70/38,457.66 = 10,861/x
  3. Step 3: Cross multiply
    25,641.70x = 38,457.66 × 10,861
  4. Step 4: Simplify right side
    25,641.70x = 417,688,645.26
  5. Step 5: Solve for x
    x = 417,688,645.26/25,641.70
  6. Step 6: Final answer
    x = 16,289.43

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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.