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Finding the Fourth Proportional to 9,019.87, 12,463.36 and 7,815.65

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Solution

The fourth proportional to 9,019.87, 12,463.36 and 7,815.65 is: 10,799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,019.87 : 12,463.36 = 7,815.65 : x
  2. Step 2: Convert to fraction form
    9,019.87/12,463.36 = 7,815.65/x
  3. Step 3: Cross multiply
    9,019.87x = 12,463.36 × 7,815.65
  4. Step 4: Simplify right side
    9,019.87x = 97,409,259.58
  5. Step 5: Solve for x
    x = 97,409,259.58/9,019.87
  6. Step 6: Final answer
    x = 10,799.41

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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.