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Finding the Fourth Proportional to 11,782.69, 16,260.34 and 6,478

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Solution

The fourth proportional to 11,782.69, 16,260.34 and 6,478 is: 8,939.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.69 : 16,260.34 = 6,478 : x
  2. Step 2: Convert to fraction form
    11,782.69/16,260.34 = 6,478/x
  3. Step 3: Cross multiply
    11,782.69x = 16,260.34 × 6,478
  4. Step 4: Simplify right side
    11,782.69x = 105,334,482.52
  5. Step 5: Solve for x
    x = 105,334,482.52/11,782.69
  6. Step 6: Final answer
    x = 8,939.77

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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.