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Finding the Fourth Proportional to 8,505.86, 11,741.31 and 4,970.21

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Solution

The fourth proportional to 8,505.86, 11,741.31 and 4,970.21 is: 6,860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.86 : 11,741.31 = 4,970.21 : x
  2. Step 2: Convert to fraction form
    8,505.86/11,741.31 = 4,970.21/x
  3. Step 3: Cross multiply
    8,505.86x = 11,741.31 × 4,970.21
  4. Step 4: Simplify right side
    8,505.86x = 58,356,717.67
  5. Step 5: Solve for x
    x = 58,356,717.67/8,505.86
  6. Step 6: Final answer
    x = 6,860.77

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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.