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Finding the Fourth Proportional to 10,000.77, 13,804.37 and 6,275.97

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Solution

The fourth proportional to 10,000.77, 13,804.37 and 6,275.97 is: 8,662.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.77 : 13,804.37 = 6,275.97 : x
  2. Step 2: Convert to fraction form
    10,000.77/13,804.37 = 6,275.97/x
  3. Step 3: Cross multiply
    10,000.77x = 13,804.37 × 6,275.97
  4. Step 4: Simplify right side
    10,000.77x = 86,635,780.61
  5. Step 5: Solve for x
    x = 86,635,780.61/10,000.77
  6. Step 6: Final answer
    x = 8,662.91

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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.