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Finding the Fourth Proportional to 9,702.78, 14,554.11 and 2,777.28

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Solution

The fourth proportional to 9,702.78, 14,554.11 and 2,777.28 is: 4,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.78 : 14,554.11 = 2,777.28 : x
  2. Step 2: Convert to fraction form
    9,702.78/14,554.11 = 2,777.28/x
  3. Step 3: Cross multiply
    9,702.78x = 14,554.11 × 2,777.28
  4. Step 4: Simplify right side
    9,702.78x = 40,420,838.62
  5. Step 5: Solve for x
    x = 40,420,838.62/9,702.78
  6. Step 6: Final answer
    x = 4,165.90

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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.