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Finding the Fourth Proportional to 28,498.50, 42,747.74 and 7,722.00

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Solution

The fourth proportional to 28,498.50, 42,747.74 and 7,722.00 is: 11,582.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,498.50 : 42,747.74 = 7,722.00 : x
  2. Step 2: Convert to fraction form
    28,498.50/42,747.74 = 7,722.00/x
  3. Step 3: Cross multiply
    28,498.50x = 42,747.74 × 7,722.00
  4. Step 4: Simplify right side
    28,498.50x = 330,097,795.93
  5. Step 5: Solve for x
    x = 330,097,795.93/28,498.50
  6. Step 6: Final answer
    x = 11,582.99

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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.