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Finding the Fourth Proportional to 9,000.48, 13,500.09 and 3,157.50

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Solution

The fourth proportional to 9,000.48, 13,500.09 and 3,157.50 is: 4,736.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.48 : 13,500.09 = 3,157.50 : x
  2. Step 2: Convert to fraction form
    9,000.48/13,500.09 = 3,157.50/x
  3. Step 3: Cross multiply
    9,000.48x = 13,500.09 × 3,157.50
  4. Step 4: Simplify right side
    9,000.48x = 42,626,534.18
  5. Step 5: Solve for x
    x = 42,626,534.18/9,000.48
  6. Step 6: Final answer
    x = 4,736.03

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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.