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Finding the Fourth Proportional to 22,411.14, 30,928.11 and 12,340.32

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Solution

The fourth proportional to 22,411.14, 30,928.11 and 12,340.32 is: 17,030.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,411.14 : 30,928.11 = 12,340.32 : x
  2. Step 2: Convert to fraction form
    22,411.14/30,928.11 = 12,340.32/x
  3. Step 3: Cross multiply
    22,411.14x = 30,928.11 × 12,340.32
  4. Step 4: Simplify right side
    22,411.14x = 381,662,774.40
  5. Step 5: Solve for x
    x = 381,662,774.40/22,411.14
  6. Step 6: Final answer
    x = 17,030.05

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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.