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Finding the Fourth Proportional to 9,758.77, 14,640.19 and 3,915.84

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Solution

The fourth proportional to 9,758.77, 14,640.19 and 3,915.84 is: 5,874.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.77 : 14,640.19 = 3,915.84 : x
  2. Step 2: Convert to fraction form
    9,758.77/14,640.19 = 3,915.84/x
  3. Step 3: Cross multiply
    9,758.77x = 14,640.19 × 3,915.84
  4. Step 4: Simplify right side
    9,758.77x = 57,328,597.03
  5. Step 5: Solve for x
    x = 57,328,597.03/9,758.77
  6. Step 6: Final answer
    x = 5,874.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.