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Finding the Fourth Proportional to 8,646.70, 11,933.01 and 6,518.47

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Solution

The fourth proportional to 8,646.70, 11,933.01 and 6,518.47 is: 8,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.70 : 11,933.01 = 6,518.47 : x
  2. Step 2: Convert to fraction form
    8,646.70/11,933.01 = 6,518.47/x
  3. Step 3: Cross multiply
    8,646.70x = 11,933.01 × 6,518.47
  4. Step 4: Simplify right side
    8,646.70x = 77,784,967.69
  5. Step 5: Solve for x
    x = 77,784,967.69/8,646.70
  6. Step 6: Final answer
    x = 8,995.91

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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.