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Finding the Fourth Proportional to 11,907.76, 16,430.98 and 7,126.61

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Solution

The fourth proportional to 11,907.76, 16,430.98 and 7,126.61 is: 9,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.76 : 16,430.98 = 7,126.61 : x
  2. Step 2: Convert to fraction form
    11,907.76/16,430.98 = 7,126.61/x
  3. Step 3: Cross multiply
    11,907.76x = 16,430.98 × 7,126.61
  4. Step 4: Simplify right side
    11,907.76x = 117,097,125.94
  5. Step 5: Solve for x
    x = 117,097,125.94/11,907.76
  6. Step 6: Final answer
    x = 9,833.68

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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.