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Finding the Fourth Proportional to 16,702.40, 25,031.72 and 6,830.12

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Solution

The fourth proportional to 16,702.40, 25,031.72 and 6,830.12 is: 10,236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702.40 : 25,031.72 = 6,830.12 : x
  2. Step 2: Convert to fraction form
    16,702.40/25,031.72 = 6,830.12/x
  3. Step 3: Cross multiply
    16,702.40x = 25,031.72 × 6,830.12
  4. Step 4: Simplify right side
    16,702.40x = 170,969,492.10
  5. Step 5: Solve for x
    x = 170,969,492.10/16,702.40
  6. Step 6: Final answer
    x = 10,236.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.