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Finding the Fourth Proportional to 7,830.55, 11,745.87 and 1,987.17

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Solution

The fourth proportional to 7,830.55, 11,745.87 and 1,987.17 is: 2,980.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.55 : 11,745.87 = 1,987.17 : x
  2. Step 2: Convert to fraction form
    7,830.55/11,745.87 = 1,987.17/x
  3. Step 3: Cross multiply
    7,830.55x = 11,745.87 × 1,987.17
  4. Step 4: Simplify right side
    7,830.55x = 23,341,040.49
  5. Step 5: Solve for x
    x = 23,341,040.49/7,830.55
  6. Step 6: Final answer
    x = 2,980.77

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1.5x scale

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.