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Finding the Fourth Proportional to 9,702.72, 14,554.40 and 3,129

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Solution

The fourth proportional to 9,702.72, 14,554.40 and 3,129 is: 4,693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.72 : 14,554.40 = 3,129 : x
  2. Step 2: Convert to fraction form
    9,702.72/14,554.40 = 3,129/x
  3. Step 3: Cross multiply
    9,702.72x = 14,554.40 × 3,129
  4. Step 4: Simplify right side
    9,702.72x = 45,540,717.60
  5. Step 5: Solve for x
    x = 45,540,717.60/9,702.72
  6. Step 6: Final answer
    x = 4,693.60

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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.