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Finding the Fourth Proportional to 7,026.71, 9,698.90 and 4,638.42

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Solution

The fourth proportional to 7,026.71, 9,698.90 and 4,638.42 is: 6,402.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.71 : 9,698.90 = 4,638.42 : x
  2. Step 2: Convert to fraction form
    7,026.71/9,698.90 = 4,638.42/x
  3. Step 3: Cross multiply
    7,026.71x = 9,698.90 × 4,638.42
  4. Step 4: Simplify right side
    7,026.71x = 44,987,548.55
  5. Step 5: Solve for x
    x = 44,987,548.55/7,026.71
  6. Step 6: Final answer
    x = 6,402.37

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1.5x scale

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.