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Finding the Fourth Proportional to 15,105.84, 22,638.71 and 6,784.31

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Solution

The fourth proportional to 15,105.84, 22,638.71 and 6,784.31 is: 10,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,105.84 : 22,638.71 = 6,784.31 : x
  2. Step 2: Convert to fraction form
    15,105.84/22,638.71 = 6,784.31/x
  3. Step 3: Cross multiply
    15,105.84x = 22,638.71 × 6,784.31
  4. Step 4: Simplify right side
    15,105.84x = 153,587,879.53
  5. Step 5: Solve for x
    x = 153,587,879.53/15,105.84
  6. Step 6: Final answer
    x = 10,167.45

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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.