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Finding the Fourth Proportional to 12,774.69, 17,627.69 and 7,108.55

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Solution

The fourth proportional to 12,774.69, 17,627.69 and 7,108.55 is: 9,809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.69 : 17,627.69 = 7,108.55 : x
  2. Step 2: Convert to fraction form
    12,774.69/17,627.69 = 7,108.55/x
  3. Step 3: Cross multiply
    12,774.69x = 17,627.69 × 7,108.55
  4. Step 4: Simplify right side
    12,774.69x = 125,307,192.07
  5. Step 5: Solve for x
    x = 125,307,192.07/12,774.69
  6. Step 6: Final answer
    x = 9,809.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.