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Finding the Fourth Proportional to 9,873.27, 13,612.74 and 7,977.87

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Solution

The fourth proportional to 9,873.27, 13,612.74 and 7,977.87 is: 10,999.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.27 : 13,612.74 = 7,977.87 : x
  2. Step 2: Convert to fraction form
    9,873.27/13,612.74 = 7,977.87/x
  3. Step 3: Cross multiply
    9,873.27x = 13,612.74 × 7,977.87
  4. Step 4: Simplify right side
    9,873.27x = 108,600,670.06
  5. Step 5: Solve for x
    x = 108,600,670.06/9,873.27
  6. Step 6: Final answer
    x = 10,999.46

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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.