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Finding the Fourth Proportional to 32,946.80, 49,420.20 and 31,002.80

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Solution

The fourth proportional to 32,946.80, 49,420.20 and 31,002.80 is: 46,504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,946.80 : 49,420.20 = 31,002.80 : x
  2. Step 2: Convert to fraction form
    32,946.80/49,420.20 = 31,002.80/x
  3. Step 3: Cross multiply
    32,946.80x = 49,420.20 × 31,002.80
  4. Step 4: Simplify right side
    32,946.80x = 1,532,164,576.56
  5. Step 5: Solve for x
    x = 1,532,164,576.56/32,946.80
  6. Step 6: Final answer
    x = 46,504.20

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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.