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Finding the Fourth Proportional to 30,921.92, 42,658.08 and 18,342.08

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Solution

The fourth proportional to 30,921.92, 42,658.08 and 18,342.08 is: 25,303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,921.92 : 42,658.08 = 18,342.08 : x
  2. Step 2: Convert to fraction form
    30,921.92/42,658.08 = 18,342.08/x
  3. Step 3: Cross multiply
    30,921.92x = 42,658.08 × 18,342.08
  4. Step 4: Simplify right side
    30,921.92x = 782,437,916.01
  5. Step 5: Solve for x
    x = 782,437,916.01/30,921.92
  6. Step 6: Final answer
    x = 25,303.67

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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.