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Finding the Fourth Proportional to 32,938.42, 49,407.69 and 15,420.55

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Solution

The fourth proportional to 32,938.42, 49,407.69 and 15,420.55 is: 23,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,938.42 : 49,407.69 = 15,420.55 : x
  2. Step 2: Convert to fraction form
    32,938.42/49,407.69 = 15,420.55/x
  3. Step 3: Cross multiply
    32,938.42x = 49,407.69 × 15,420.55
  4. Step 4: Simplify right side
    32,938.42x = 761,893,506.99
  5. Step 5: Solve for x
    x = 761,893,506.99/32,938.42
  6. Step 6: Final answer
    x = 23,130.85

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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.