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Finding the Fourth Proportional to 9,702.30, 13,388.79 and 5,931.81

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Solution

The fourth proportional to 9,702.30, 13,388.79 and 5,931.81 is: 8,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.30 : 13,388.79 = 5,931.81 : x
  2. Step 2: Convert to fraction form
    9,702.30/13,388.79 = 5,931.81/x
  3. Step 3: Cross multiply
    9,702.30x = 13,388.79 × 5,931.81
  4. Step 4: Simplify right side
    9,702.30x = 79,419,758.41
  5. Step 5: Solve for x
    x = 79,419,758.41/9,702.30
  6. Step 6: Final answer
    x = 8,185.66

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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.