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Finding the Fourth Proportional to 28,235, 42,354.94 and 7,458.50

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Solution

The fourth proportional to 28,235, 42,354.94 and 7,458.50 is: 11,188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,235 : 42,354.94 = 7,458.50 : x
  2. Step 2: Convert to fraction form
    28,235/42,354.94 = 7,458.50/x
  3. Step 3: Cross multiply
    28,235x = 42,354.94 × 7,458.50
  4. Step 4: Simplify right side
    28,235x = 315,904,319.99
  5. Step 5: Solve for x
    x = 315,904,319.99/28,235
  6. Step 6: Final answer
    x = 11,188.39

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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.