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Finding the Fourth Proportional to 8,663.69, 11,953.67 and 5,305.28

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Solution

The fourth proportional to 8,663.69, 11,953.67 and 5,305.28 is: 7,319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.69 : 11,953.67 = 5,305.28 : x
  2. Step 2: Convert to fraction form
    8,663.69/11,953.67 = 5,305.28/x
  3. Step 3: Cross multiply
    8,663.69x = 11,953.67 × 5,305.28
  4. Step 4: Simplify right side
    8,663.69x = 63,417,480.08
  5. Step 5: Solve for x
    x = 63,417,480.08/8,663.69
  6. Step 6: Final answer
    x = 7,319.91

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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.