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Finding the Fourth Proportional to 32,938.20, 49,410.74 and 9,564.64

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Solution

The fourth proportional to 32,938.20, 49,410.74 and 9,564.64 is: 14,347.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,938.20 : 49,410.74 = 9,564.64 : x
  2. Step 2: Convert to fraction form
    32,938.20/49,410.74 = 9,564.64/x
  3. Step 3: Cross multiply
    32,938.20x = 49,410.74 × 9,564.64
  4. Step 4: Simplify right side
    32,938.20x = 472,595,840.62
  5. Step 5: Solve for x
    x = 472,595,840.62/32,938.20
  6. Step 6: Final answer
    x = 14,347.96

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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.