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Finding the Fourth Proportional to 15,706.08, 21,674.70 and 8,633.16

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Solution

The fourth proportional to 15,706.08, 21,674.70 and 8,633.16 is: 11,913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.08 : 21,674.70 = 8,633.16 : x
  2. Step 2: Convert to fraction form
    15,706.08/21,674.70 = 8,633.16/x
  3. Step 3: Cross multiply
    15,706.08x = 21,674.70 × 8,633.16
  4. Step 4: Simplify right side
    15,706.08x = 187,121,153.05
  5. Step 5: Solve for x
    x = 187,121,153.05/15,706.08
  6. Step 6: Final answer
    x = 11,913.93

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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.