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Finding the Fourth Proportional to 14,129.76, 21,181.68 and 7,196.16

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Solution

The fourth proportional to 14,129.76, 21,181.68 and 7,196.16 is: 10,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.76 : 21,181.68 = 7,196.16 : x
  2. Step 2: Convert to fraction form
    14,129.76/21,181.68 = 7,196.16/x
  3. Step 3: Cross multiply
    14,129.76x = 21,181.68 × 7,196.16
  4. Step 4: Simplify right side
    14,129.76x = 152,426,758.35
  5. Step 5: Solve for x
    x = 152,426,758.35/14,129.76
  6. Step 6: Final answer
    x = 10,787.64

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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.