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Finding the Fourth Proportional to 10,151.94, 13,993.80 and 9,337.32

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Solution

The fourth proportional to 10,151.94, 13,993.80 and 9,337.32 is: 12,870.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.94 : 13,993.80 = 9,337.32 : x
  2. Step 2: Convert to fraction form
    10,151.94/13,993.80 = 9,337.32/x
  3. Step 3: Cross multiply
    10,151.94x = 13,993.80 × 9,337.32
  4. Step 4: Simplify right side
    10,151.94x = 130,664,588.62
  5. Step 5: Solve for x
    x = 130,664,588.62/10,151.94
  6. Step 6: Final answer
    x = 12,870.90

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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.