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Finding the Fourth Proportional to 7,830.52, 11,746.19 and 1,987.18

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Solution

The fourth proportional to 7,830.52, 11,746.19 and 1,987.18 is: 2,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.52 : 11,746.19 = 1,987.18 : x
  2. Step 2: Convert to fraction form
    7,830.52/11,746.19 = 1,987.18/x
  3. Step 3: Cross multiply
    7,830.52x = 11,746.19 × 1,987.18
  4. Step 4: Simplify right side
    7,830.52x = 23,341,793.84
  5. Step 5: Solve for x
    x = 23,341,793.84/7,830.52
  6. Step 6: Final answer
    x = 2,980.87

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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.