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Finding the Fourth Proportional to 17,807, 26,710.86 and 5,495

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Solution

The fourth proportional to 17,807, 26,710.86 and 5,495 is: 8,242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,807 : 26,710.86 = 5,495 : x
  2. Step 2: Convert to fraction form
    17,807/26,710.86 = 5,495/x
  3. Step 3: Cross multiply
    17,807x = 26,710.86 × 5,495
  4. Step 4: Simplify right side
    17,807x = 146,776,175.70
  5. Step 5: Solve for x
    x = 146,776,175.70/17,807
  6. Step 6: Final answer
    x = 8,242.61

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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.