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Finding the Fourth Proportional to 9,418.90, 12,991.04 and 6,430

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Solution

The fourth proportional to 9,418.90, 12,991.04 and 6,430 is: 8,868.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,418.90 : 12,991.04 = 6,430 : x
  2. Step 2: Convert to fraction form
    9,418.90/12,991.04 = 6,430/x
  3. Step 3: Cross multiply
    9,418.90x = 12,991.04 × 6,430
  4. Step 4: Simplify right side
    9,418.90x = 83,532,387.20
  5. Step 5: Solve for x
    x = 83,532,387.20/9,418.90
  6. Step 6: Final answer
    x = 8,868.59

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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.