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Finding the Fourth Proportional to 15,501.92, 21,392.44 and 8,428.46

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Solution

The fourth proportional to 15,501.92, 21,392.44 and 8,428.46 is: 11,631.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,501.92 : 21,392.44 = 8,428.46 : x
  2. Step 2: Convert to fraction form
    15,501.92/21,392.44 = 8,428.46/x
  3. Step 3: Cross multiply
    15,501.92x = 21,392.44 × 8,428.46
  4. Step 4: Simplify right side
    15,501.92x = 180,305,196.81
  5. Step 5: Solve for x
    x = 180,305,196.81/15,501.92
  6. Step 6: Final answer
    x = 11,631.16

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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.