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Finding the Fourth Proportional to 10,008.68, 13,809.84 and 5,814.68

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Solution

The fourth proportional to 10,008.68, 13,809.84 and 5,814.68 is: 8,023.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.68 : 13,809.84 = 5,814.68 : x
  2. Step 2: Convert to fraction form
    10,008.68/13,809.84 = 5,814.68/x
  3. Step 3: Cross multiply
    10,008.68x = 13,809.84 × 5,814.68
  4. Step 4: Simplify right side
    10,008.68x = 80,299,800.45
  5. Step 5: Solve for x
    x = 80,299,800.45/10,008.68
  6. Step 6: Final answer
    x = 8,023.02

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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.