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Finding the Fourth Proportional to 30,170.40, 45,253.98 and 7,984.50

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Solution

The fourth proportional to 30,170.40, 45,253.98 and 7,984.50 is: 11,976.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,170.40 : 45,253.98 = 7,984.50 : x
  2. Step 2: Convert to fraction form
    30,170.40/45,253.98 = 7,984.50/x
  3. Step 3: Cross multiply
    30,170.40x = 45,253.98 × 7,984.50
  4. Step 4: Simplify right side
    30,170.40x = 361,330,403.31
  5. Step 5: Solve for x
    x = 361,330,403.31/30,170.40
  6. Step 6: Final answer
    x = 11,976.32

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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.