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Finding the Fourth Proportional to 8,509.86, 11,736.90 and 5,856.30

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Solution

The fourth proportional to 8,509.86, 11,736.90 and 5,856.30 is: 8,077.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.86 : 11,736.90 = 5,856.30 : x
  2. Step 2: Convert to fraction form
    8,509.86/11,736.90 = 5,856.30/x
  3. Step 3: Cross multiply
    8,509.86x = 11,736.90 × 5,856.30
  4. Step 4: Simplify right side
    8,509.86x = 68,734,807.47
  5. Step 5: Solve for x
    x = 68,734,807.47/8,509.86
  6. Step 6: Final answer
    x = 8,077.08

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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.