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Finding the Fourth Proportional to 17,772.30, 26,658.45 and 17,657.10

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Solution

The fourth proportional to 17,772.30, 26,658.45 and 17,657.10 is: 26,485.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772.30 : 26,658.45 = 17,657.10 : x
  2. Step 2: Convert to fraction form
    17,772.30/26,658.45 = 17,657.10/x
  3. Step 3: Cross multiply
    17,772.30x = 26,658.45 × 17,657.10
  4. Step 4: Simplify right side
    17,772.30x = 470,710,917.50
  5. Step 5: Solve for x
    x = 470,710,917.50/17,772.30
  6. Step 6: Final answer
    x = 26,485.65

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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.