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Finding the Fourth Proportional to 7,019.47, 9,678.12 and 4,497.44

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Solution

The fourth proportional to 7,019.47, 9,678.12 and 4,497.44 is: 6,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,019.47 : 9,678.12 = 4,497.44 : x
  2. Step 2: Convert to fraction form
    7,019.47/9,678.12 = 4,497.44/x
  3. Step 3: Cross multiply
    7,019.47x = 9,678.12 × 4,497.44
  4. Step 4: Simplify right side
    7,019.47x = 43,526,698.76
  5. Step 5: Solve for x
    x = 43,526,698.76/7,019.47
  6. Step 6: Final answer
    x = 6,200.85

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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.