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Finding the Fourth Proportional to 17,677, 26,515.50 and 5,365

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Solution

The fourth proportional to 17,677, 26,515.50 and 5,365 is: 8,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677 : 26,515.50 = 5,365 : x
  2. Step 2: Convert to fraction form
    17,677/26,515.50 = 5,365/x
  3. Step 3: Cross multiply
    17,677x = 26,515.50 × 5,365
  4. Step 4: Simplify right side
    17,677x = 142,255,657.50
  5. Step 5: Solve for x
    x = 142,255,657.50/17,677
  6. Step 6: Final answer
    x = 8,047.50

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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.