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Finding the Fourth Proportional to 12,615.23, 18,834.14 and 9,638.07

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Solution

The fourth proportional to 12,615.23, 18,834.14 and 9,638.07 is: 14,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615.23 : 18,834.14 = 9,638.07 : x
  2. Step 2: Convert to fraction form
    12,615.23/18,834.14 = 9,638.07/x
  3. Step 3: Cross multiply
    12,615.23x = 18,834.14 × 9,638.07
  4. Step 4: Simplify right side
    12,615.23x = 181,524,711.52
  5. Step 5: Solve for x
    x = 181,524,711.52/12,615.23
  6. Step 6: Final answer
    x = 14,389.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.