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Finding the Fourth Proportional to 9,154, 12,623.08 and 7,832.08

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Solution

The fourth proportional to 9,154, 12,623.08 and 7,832.08 is: 10,800.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154 : 12,623.08 = 7,832.08 : x
  2. Step 2: Convert to fraction form
    9,154/12,623.08 = 7,832.08/x
  3. Step 3: Cross multiply
    9,154x = 12,623.08 × 7,832.08
  4. Step 4: Simplify right side
    9,154x = 98,864,972.41
  5. Step 5: Solve for x
    x = 98,864,972.41/9,154
  6. Step 6: Final answer
    x = 10,800.19

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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.