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Finding the Fourth Proportional to 7,188.14, 9,866.64 and 6,384.62

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Solution

The fourth proportional to 7,188.14, 9,866.64 and 6,384.62 is: 8,763.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.14 : 9,866.64 = 6,384.62 : x
  2. Step 2: Convert to fraction form
    7,188.14/9,866.64 = 6,384.62/x
  3. Step 3: Cross multiply
    7,188.14x = 9,866.64 × 6,384.62
  4. Step 4: Simplify right side
    7,188.14x = 62,994,715.15
  5. Step 5: Solve for x
    x = 62,994,715.15/7,188.14
  6. Step 6: Final answer
    x = 8,763.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.