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Finding the Fourth Proportional to 14,231, 21,348.12 and 7,307.12

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Solution

The fourth proportional to 14,231, 21,348.12 and 7,307.12 is: 10,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231 : 21,348.12 = 7,307.12 : x
  2. Step 2: Convert to fraction form
    14,231/21,348.12 = 7,307.12/x
  3. Step 3: Cross multiply
    14,231x = 21,348.12 × 7,307.12
  4. Step 4: Simplify right side
    14,231x = 155,993,274.61
  5. Step 5: Solve for x
    x = 155,993,274.61/14,231
  6. Step 6: Final answer
    x = 10,961.51

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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.