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Finding the Fourth Proportional to 7,287.40, 10,931.04 and 1,815.40

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Solution

The fourth proportional to 7,287.40, 10,931.04 and 1,815.40 is: 2,723.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.40 : 10,931.04 = 1,815.40 : x
  2. Step 2: Convert to fraction form
    7,287.40/10,931.04 = 1,815.40/x
  3. Step 3: Cross multiply
    7,287.40x = 10,931.04 × 1,815.40
  4. Step 4: Simplify right side
    7,287.40x = 19,844,210.02
  5. Step 5: Solve for x
    x = 19,844,210.02/7,287.40
  6. Step 6: Final answer
    x = 2,723.09

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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.