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Finding the Fourth Proportional to 32,938.67, 49,408.07 and 15,420.80

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Solution

The fourth proportional to 32,938.67, 49,408.07 and 15,420.80 is: 23,131.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,938.67 : 49,408.07 = 15,420.80 : x
  2. Step 2: Convert to fraction form
    32,938.67/49,408.07 = 15,420.80/x
  3. Step 3: Cross multiply
    32,938.67x = 49,408.07 × 15,420.80
  4. Step 4: Simplify right side
    32,938.67x = 761,911,641.71
  5. Step 5: Solve for x
    x = 761,911,641.71/32,938.67
  6. Step 6: Final answer
    x = 23,131.22

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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.