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Finding the Fourth Proportional to 8,535, 12,782.58 and 8,239.40

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Solution

The fourth proportional to 8,535, 12,782.58 and 8,239.40 is: 12,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535 : 12,782.58 = 8,239.40 : x
  2. Step 2: Convert to fraction form
    8,535/12,782.58 = 8,239.40/x
  3. Step 3: Cross multiply
    8,535x = 12,782.58 × 8,239.40
  4. Step 4: Simplify right side
    8,535x = 105,320,789.65
  5. Step 5: Solve for x
    x = 105,320,789.65/8,535
  6. Step 6: Final answer
    x = 12,339.87

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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.