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Finding the Fourth Proportional to 11,928.72, 17,870.16 and 9,262.32

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Solution

The fourth proportional to 11,928.72, 17,870.16 and 9,262.32 is: 13,875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,928.72 : 17,870.16 = 9,262.32 : x
  2. Step 2: Convert to fraction form
    11,928.72/17,870.16 = 9,262.32/x
  3. Step 3: Cross multiply
    11,928.72x = 17,870.16 × 9,262.32
  4. Step 4: Simplify right side
    11,928.72x = 165,519,140.37
  5. Step 5: Solve for x
    x = 165,519,140.37/11,928.72
  6. Step 6: Final answer
    x = 13,875.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.