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Finding the Fourth Proportional to 15,758.37, 21,746.36 and 8,684.64

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Solution

The fourth proportional to 15,758.37, 21,746.36 and 8,684.64 is: 11,984.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.37 : 21,746.36 = 8,684.64 : x
  2. Step 2: Convert to fraction form
    15,758.37/21,746.36 = 8,684.64/x
  3. Step 3: Cross multiply
    15,758.37x = 21,746.36 × 8,684.64
  4. Step 4: Simplify right side
    15,758.37x = 188,859,264.49
  5. Step 5: Solve for x
    x = 188,859,264.49/15,758.37
  6. Step 6: Final answer
    x = 11,984.70

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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.