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Finding the Fourth Proportional to 10,281.50, 14,187.67 and 5,805.69

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Solution

The fourth proportional to 10,281.50, 14,187.67 and 5,805.69 is: 8,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.50 : 14,187.67 = 5,805.69 : x
  2. Step 2: Convert to fraction form
    10,281.50/14,187.67 = 5,805.69/x
  3. Step 3: Cross multiply
    10,281.50x = 14,187.67 × 5,805.69
  4. Step 4: Simplify right side
    10,281.50x = 82,369,213.84
  5. Step 5: Solve for x
    x = 82,369,213.84/10,281.50
  6. Step 6: Final answer
    x = 8,011.40

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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.