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Finding the Fourth Proportional to 12,285.78, 16,953.51 and 7,249.74

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Solution

The fourth proportional to 12,285.78, 16,953.51 and 7,249.74 is: 10,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.78 : 16,953.51 = 7,249.74 : x
  2. Step 2: Convert to fraction form
    12,285.78/16,953.51 = 7,249.74/x
  3. Step 3: Cross multiply
    12,285.78x = 16,953.51 × 7,249.74
  4. Step 4: Simplify right side
    12,285.78x = 122,908,539.59
  5. Step 5: Solve for x
    x = 122,908,539.59/12,285.78
  6. Step 6: Final answer
    x = 10,004.13

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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.