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Finding the Fourth Proportional to 28,126, 42,189.41 and 7,349.50

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Solution

The fourth proportional to 28,126, 42,189.41 and 7,349.50 is: 11,024.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,126 : 42,189.41 = 7,349.50 : x
  2. Step 2: Convert to fraction form
    28,126/42,189.41 = 7,349.50/x
  3. Step 3: Cross multiply
    28,126x = 42,189.41 × 7,349.50
  4. Step 4: Simplify right side
    28,126x = 310,071,068.80
  5. Step 5: Solve for x
    x = 310,071,068.80/28,126
  6. Step 6: Final answer
    x = 11,024.36

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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.