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Finding the Fourth Proportional to 7,069.32, 9,748.87 and 4,678.20

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Solution

The fourth proportional to 7,069.32, 9,748.87 and 4,678.20 is: 6,451.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.32 : 9,748.87 = 4,678.20 : x
  2. Step 2: Convert to fraction form
    7,069.32/9,748.87 = 4,678.20/x
  3. Step 3: Cross multiply
    7,069.32x = 9,748.87 × 4,678.20
  4. Step 4: Simplify right side
    7,069.32x = 45,607,163.63
  5. Step 5: Solve for x
    x = 45,607,163.63/7,069.32
  6. Step 6: Final answer
    x = 6,451.42

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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.