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Finding the Fourth Proportional to 9,907.40, 13,670.42 and 6,369.80

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Solution

The fourth proportional to 9,907.40, 13,670.42 and 6,369.80 is: 8,789.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.40 : 13,670.42 = 6,369.80 : x
  2. Step 2: Convert to fraction form
    9,907.40/13,670.42 = 6,369.80/x
  3. Step 3: Cross multiply
    9,907.40x = 13,670.42 × 6,369.80
  4. Step 4: Simplify right side
    9,907.40x = 87,077,841.32
  5. Step 5: Solve for x
    x = 87,077,841.32/9,907.40
  6. Step 6: Final answer
    x = 8,789.17

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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.