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Finding the Fourth Proportional to 8,347.86, 11,519.34 and 4,811.34

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Solution

The fourth proportional to 8,347.86, 11,519.34 and 4,811.34 is: 6,639.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347.86 : 11,519.34 = 4,811.34 : x
  2. Step 2: Convert to fraction form
    8,347.86/11,519.34 = 4,811.34/x
  3. Step 3: Cross multiply
    8,347.86x = 11,519.34 × 4,811.34
  4. Step 4: Simplify right side
    8,347.86x = 55,423,461.32
  5. Step 5: Solve for x
    x = 55,423,461.32/8,347.86
  6. Step 6: Final answer
    x = 6,639.24

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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.