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Finding the Fourth Proportional to 7,080, 10,620 and 1,885.92

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Solution

The fourth proportional to 7,080, 10,620 and 1,885.92 is: 2,828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080 : 10,620 = 1,885.92 : x
  2. Step 2: Convert to fraction form
    7,080/10,620 = 1,885.92/x
  3. Step 3: Cross multiply
    7,080x = 10,620 × 1,885.92
  4. Step 4: Simplify right side
    7,080x = 20,028,470.40
  5. Step 5: Solve for x
    x = 20,028,470.40/7,080
  6. Step 6: Final answer
    x = 2,828.88

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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.