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Finding the Fourth Proportional to 5,272.65, 7,904.07 and 1,987.92

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Solution

The fourth proportional to 5,272.65, 7,904.07 and 1,987.92 is: 2,980.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.65 : 7,904.07 = 1,987.92 : x
  2. Step 2: Convert to fraction form
    5,272.65/7,904.07 = 1,987.92/x
  3. Step 3: Cross multiply
    5,272.65x = 7,904.07 × 1,987.92
  4. Step 4: Simplify right side
    5,272.65x = 15,712,658.83
  5. Step 5: Solve for x
    x = 15,712,658.83/5,272.65
  6. Step 6: Final answer
    x = 2,980.03

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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.