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Finding the Fourth Proportional to 12,307.14, 16,941.96 and 9,318.24

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Solution

The fourth proportional to 12,307.14, 16,941.96 and 9,318.24 is: 12,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.14 : 16,941.96 = 9,318.24 : x
  2. Step 2: Convert to fraction form
    12,307.14/16,941.96 = 9,318.24/x
  3. Step 3: Cross multiply
    12,307.14x = 16,941.96 × 9,318.24
  4. Step 4: Simplify right side
    12,307.14x = 157,869,249.35
  5. Step 5: Solve for x
    x = 157,869,249.35/12,307.14
  6. Step 6: Final answer
    x = 12,827.45

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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.