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Finding the Fourth Proportional to 12,323.13, 17,020.49 and 8,337.32

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Solution

The fourth proportional to 12,323.13, 17,020.49 and 8,337.32 is: 11,515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.13 : 17,020.49 = 8,337.32 : x
  2. Step 2: Convert to fraction form
    12,323.13/17,020.49 = 8,337.32/x
  3. Step 3: Cross multiply
    12,323.13x = 17,020.49 × 8,337.32
  4. Step 4: Simplify right side
    12,323.13x = 141,905,271.69
  5. Step 5: Solve for x
    x = 141,905,271.69/12,323.13
  6. Step 6: Final answer
    x = 11,515.36

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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.