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Finding the Fourth Proportional to 8,742.47, 13,095.21 and 7,069.42

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Solution

The fourth proportional to 8,742.47, 13,095.21 and 7,069.42 is: 10,589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.47 : 13,095.21 = 7,069.42 : x
  2. Step 2: Convert to fraction form
    8,742.47/13,095.21 = 7,069.42/x
  3. Step 3: Cross multiply
    8,742.47x = 13,095.21 × 7,069.42
  4. Step 4: Simplify right side
    8,742.47x = 92,575,539.48
  5. Step 5: Solve for x
    x = 92,575,539.48/8,742.47
  6. Step 6: Final answer
    x = 10,589.17

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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.