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Finding the Fourth Proportional to 20,358, 30,533.40 and 9,262.08

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Solution

The fourth proportional to 20,358, 30,533.40 and 9,262.08 is: 13,891.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,358 : 30,533.40 = 9,262.08 : x
  2. Step 2: Convert to fraction form
    20,358/30,533.40 = 9,262.08/x
  3. Step 3: Cross multiply
    20,358x = 30,533.40 × 9,262.08
  4. Step 4: Simplify right side
    20,358x = 282,802,793.47
  5. Step 5: Solve for x
    x = 282,802,793.47/20,358
  6. Step 6: Final answer
    x = 13,891.48

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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.