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Finding the Fourth Proportional to 28,490.84, 42,736.29 and 7,430.86

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Solution

The fourth proportional to 28,490.84, 42,736.29 and 7,430.86 is: 11,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,490.84 : 42,736.29 = 7,430.86 : x
  2. Step 2: Convert to fraction form
    28,490.84/42,736.29 = 7,430.86/x
  3. Step 3: Cross multiply
    28,490.84x = 42,736.29 × 7,430.86
  4. Step 4: Simplify right side
    28,490.84x = 317,567,387.91
  5. Step 5: Solve for x
    x = 317,567,387.91/28,490.84
  6. Step 6: Final answer
    x = 11,146.30

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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.