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Finding the Fourth Proportional to 11,702.13, 16,141.34 and 7,880.34

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Solution

The fourth proportional to 11,702.13, 16,141.34 and 7,880.34 is: 10,869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.13 : 16,141.34 = 7,880.34 : x
  2. Step 2: Convert to fraction form
    11,702.13/16,141.34 = 7,880.34/x
  3. Step 3: Cross multiply
    11,702.13x = 16,141.34 × 7,880.34
  4. Step 4: Simplify right side
    11,702.13x = 127,199,247.26
  5. Step 5: Solve for x
    x = 127,199,247.26/11,702.13
  6. Step 6: Final answer
    x = 10,869.75

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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.