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Finding the Fourth Proportional to 9,880.38, 13,638 and 6,897.24

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Solution

The fourth proportional to 9,880.38, 13,638 and 6,897.24 is: 9,520.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.38 : 13,638 = 6,897.24 : x
  2. Step 2: Convert to fraction form
    9,880.38/13,638 = 6,897.24/x
  3. Step 3: Cross multiply
    9,880.38x = 13,638 × 6,897.24
  4. Step 4: Simplify right side
    9,880.38x = 94,064,559.12
  5. Step 5: Solve for x
    x = 94,064,559.12/9,880.38
  6. Step 6: Final answer
    x = 9,520.34

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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.