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Finding the Fourth Proportional to 10,674.40, 15,991.20 and 5,742.40

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Solution

The fourth proportional to 10,674.40, 15,991.20 and 5,742.40 is: 8,602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.40 : 15,991.20 = 5,742.40 : x
  2. Step 2: Convert to fraction form
    10,674.40/15,991.20 = 5,742.40/x
  3. Step 3: Cross multiply
    10,674.40x = 15,991.20 × 5,742.40
  4. Step 4: Simplify right side
    10,674.40x = 91,827,866.88
  5. Step 5: Solve for x
    x = 91,827,866.88/10,674.40
  6. Step 6: Final answer
    x = 8,602.63

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1.5x scale

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.