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Finding the Fourth Proportional to 11,381.64, 15,706.08 and 6,664.20

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Solution

The fourth proportional to 11,381.64, 15,706.08 and 6,664.20 is: 9,196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.64 : 15,706.08 = 6,664.20 : x
  2. Step 2: Convert to fraction form
    11,381.64/15,706.08 = 6,664.20/x
  3. Step 3: Cross multiply
    11,381.64x = 15,706.08 × 6,664.20
  4. Step 4: Simplify right side
    11,381.64x = 104,668,458.34
  5. Step 5: Solve for x
    x = 104,668,458.34/11,381.64
  6. Step 6: Final answer
    x = 9,196.25

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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.