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Finding the Fourth Proportional to 32,830, 45,306.50 and 18,683.76

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Solution

The fourth proportional to 32,830, 45,306.50 and 18,683.76 is: 25,784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,830 : 45,306.50 = 18,683.76 : x
  2. Step 2: Convert to fraction form
    32,830/45,306.50 = 18,683.76/x
  3. Step 3: Cross multiply
    32,830x = 45,306.50 × 18,683.76
  4. Step 4: Simplify right side
    32,830x = 846,495,772.44
  5. Step 5: Solve for x
    x = 846,495,772.44/32,830
  6. Step 6: Final answer
    x = 25,784.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.