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Finding the Fourth Proportional to 6,987.65, 10,480 and 2,055.95

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Solution

The fourth proportional to 6,987.65, 10,480 and 2,055.95 is: 3,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.65 : 10,480 = 2,055.95 : x
  2. Step 2: Convert to fraction form
    6,987.65/10,480 = 2,055.95/x
  3. Step 3: Cross multiply
    6,987.65x = 10,480 × 2,055.95
  4. Step 4: Simplify right side
    6,987.65x = 21,546,356.00
  5. Step 5: Solve for x
    x = 21,546,356.00/6,987.65
  6. Step 6: Final answer
    x = 3,083.49

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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.