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Finding the Fourth Proportional to 12,253, 18,323.43 and 9,135.13

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Solution

The fourth proportional to 12,253, 18,323.43 and 9,135.13 is: 13,660.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,253 : 18,323.43 = 9,135.13 : x
  2. Step 2: Convert to fraction form
    12,253/18,323.43 = 9,135.13/x
  3. Step 3: Cross multiply
    12,253x = 18,323.43 × 9,135.13
  4. Step 4: Simplify right side
    12,253x = 167,386,915.10
  5. Step 5: Solve for x
    x = 167,386,915.10/12,253
  6. Step 6: Final answer
    x = 13,660.89

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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.