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Finding the Fourth Proportional to 6,543.90, 9,801.45 and 3,942.30

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Solution

The fourth proportional to 6,543.90, 9,801.45 and 3,942.30 is: 5,904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.90 : 9,801.45 = 3,942.30 : x
  2. Step 2: Convert to fraction form
    6,543.90/9,801.45 = 3,942.30/x
  3. Step 3: Cross multiply
    6,543.90x = 9,801.45 × 3,942.30
  4. Step 4: Simplify right side
    6,543.90x = 38,640,256.34
  5. Step 5: Solve for x
    x = 38,640,256.34/6,543.90
  6. Step 6: Final answer
    x = 5,904.77

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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.