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Finding the Fourth Proportional to 11,378.14, 15,702.57 and 7,835.20

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Solution

The fourth proportional to 11,378.14, 15,702.57 and 7,835.20 is: 10,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.14 : 15,702.57 = 7,835.20 : x
  2. Step 2: Convert to fraction form
    11,378.14/15,702.57 = 7,835.20/x
  3. Step 3: Cross multiply
    11,378.14x = 15,702.57 × 7,835.20
  4. Step 4: Simplify right side
    11,378.14x = 123,032,737.21
  5. Step 5: Solve for x
    x = 123,032,737.21/11,378.14
  6. Step 6: Final answer
    x = 10,813.08

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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.