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Finding the Fourth Proportional to 17,811.70, 26,730.35 and 7,430.90

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Solution

The fourth proportional to 17,811.70, 26,730.35 and 7,430.90 is: 11,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,811.70 : 26,730.35 = 7,430.90 : x
  2. Step 2: Convert to fraction form
    17,811.70/26,730.35 = 7,430.90/x
  3. Step 3: Cross multiply
    17,811.70x = 26,730.35 × 7,430.90
  4. Step 4: Simplify right side
    17,811.70x = 198,630,557.82
  5. Step 5: Solve for x
    x = 198,630,557.82/17,811.70
  6. Step 6: Final answer
    x = 11,151.69

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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.