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Finding the Fourth Proportional to 9,989.96, 14,987.48 and 3,415.20

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Solution

The fourth proportional to 9,989.96, 14,987.48 and 3,415.20 is: 5,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.96 : 14,987.48 = 3,415.20 : x
  2. Step 2: Convert to fraction form
    9,989.96/14,987.48 = 3,415.20/x
  3. Step 3: Cross multiply
    9,989.96x = 14,987.48 × 3,415.20
  4. Step 4: Simplify right side
    9,989.96x = 51,185,241.70
  5. Step 5: Solve for x
    x = 51,185,241.70/9,989.96
  6. Step 6: Final answer
    x = 5,123.67

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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.