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Finding the Fourth Proportional to 20,223.78, 30,322.52 and 9,693.52

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Solution

The fourth proportional to 20,223.78, 30,322.52 and 9,693.52 is: 14,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,223.78 : 30,322.52 = 9,693.52 : x
  2. Step 2: Convert to fraction form
    20,223.78/30,322.52 = 9,693.52/x
  3. Step 3: Cross multiply
    20,223.78x = 30,322.52 × 9,693.52
  4. Step 4: Simplify right side
    20,223.78x = 293,931,954.07
  5. Step 5: Solve for x
    x = 293,931,954.07/20,223.78
  6. Step 6: Final answer
    x = 14,533.98

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1.5x scale

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.