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Finding the Fourth Proportional to 10,000.22, 14,968.86 and 6,861.88

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Solution

The fourth proportional to 10,000.22, 14,968.86 and 6,861.88 is: 10,271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.22 : 14,968.86 = 6,861.88 : x
  2. Step 2: Convert to fraction form
    10,000.22/14,968.86 = 6,861.88/x
  3. Step 3: Cross multiply
    10,000.22x = 14,968.86 × 6,861.88
  4. Step 4: Simplify right side
    10,000.22x = 102,714,521.06
  5. Step 5: Solve for x
    x = 102,714,521.06/10,000.22
  6. Step 6: Final answer
    x = 10,271.23

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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.