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Finding the Fourth Proportional to 10,638.64, 14,680.76 and 5,922.08

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Solution

The fourth proportional to 10,638.64, 14,680.76 and 5,922.08 is: 8,172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.64 : 14,680.76 = 5,922.08 : x
  2. Step 2: Convert to fraction form
    10,638.64/14,680.76 = 5,922.08/x
  3. Step 3: Cross multiply
    10,638.64x = 14,680.76 × 5,922.08
  4. Step 4: Simplify right side
    10,638.64x = 86,940,635.18
  5. Step 5: Solve for x
    x = 86,940,635.18/10,638.64
  6. Step 6: Final answer
    x = 8,172.16

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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.