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Finding the Fourth Proportional to 21,478.65, 32,204.74 and 7,435.41

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Solution

The fourth proportional to 21,478.65, 32,204.74 and 7,435.41 is: 11,148.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.65 : 32,204.74 = 7,435.41 : x
  2. Step 2: Convert to fraction form
    21,478.65/32,204.74 = 7,435.41/x
  3. Step 3: Cross multiply
    21,478.65x = 32,204.74 × 7,435.41
  4. Step 4: Simplify right side
    21,478.65x = 239,455,445.84
  5. Step 5: Solve for x
    x = 239,455,445.84/21,478.65
  6. Step 6: Final answer
    x = 11,148.53

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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.