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Finding the Fourth Proportional to 13,714.12, 18,915.06 and 9,679.24

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Solution

The fourth proportional to 13,714.12, 18,915.06 and 9,679.24 is: 13,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.12 : 18,915.06 = 9,679.24 : x
  2. Step 2: Convert to fraction form
    13,714.12/18,915.06 = 9,679.24/x
  3. Step 3: Cross multiply
    13,714.12x = 18,915.06 × 9,679.24
  4. Step 4: Simplify right side
    13,714.12x = 183,083,405.35
  5. Step 5: Solve for x
    x = 183,083,405.35/13,714.12
  6. Step 6: Final answer
    x = 13,349.99

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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.