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Finding the Fourth Proportional to 7,830.04, 11,745.08 and 1,987.12

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Solution

The fourth proportional to 7,830.04, 11,745.08 and 1,987.12 is: 2,980.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.04 : 11,745.08 = 1,987.12 : x
  2. Step 2: Convert to fraction form
    7,830.04/11,745.08 = 1,987.12/x
  3. Step 3: Cross multiply
    7,830.04x = 11,745.08 × 1,987.12
  4. Step 4: Simplify right side
    7,830.04x = 23,338,883.37
  5. Step 5: Solve for x
    x = 23,338,883.37/7,830.04
  6. Step 6: Final answer
    x = 2,980.69

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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.