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Finding the Fourth Proportional to 10,149.94, 13,991.04 and 9,335.32

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Solution

The fourth proportional to 10,149.94, 13,991.04 and 9,335.32 is: 12,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.94 : 13,991.04 = 9,335.32 : x
  2. Step 2: Convert to fraction form
    10,149.94/13,991.04 = 9,335.32/x
  3. Step 3: Cross multiply
    10,149.94x = 13,991.04 × 9,335.32
  4. Step 4: Simplify right side
    10,149.94x = 130,610,835.53
  5. Step 5: Solve for x
    x = 130,610,835.53/10,149.94
  6. Step 6: Final answer
    x = 12,868.14

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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.