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Finding the Fourth Proportional to 9,997.80, 14,987.10 and 7,775.40

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Solution

The fourth proportional to 9,997.80, 14,987.10 and 7,775.40 is: 11,655.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.80 : 14,987.10 = 7,775.40 : x
  2. Step 2: Convert to fraction form
    9,997.80/14,987.10 = 7,775.40/x
  3. Step 3: Cross multiply
    9,997.80x = 14,987.10 × 7,775.40
  4. Step 4: Simplify right side
    9,997.80x = 116,530,697.34
  5. Step 5: Solve for x
    x = 116,530,697.34/9,997.80
  6. Step 6: Final answer
    x = 11,655.63

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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.