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Finding the Fourth Proportional to 10,999.51, 15,175.81 and 6,746.20

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Solution

The fourth proportional to 10,999.51, 15,175.81 and 6,746.20 is: 9,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.51 : 15,175.81 = 6,746.20 : x
  2. Step 2: Convert to fraction form
    10,999.51/15,175.81 = 6,746.20/x
  3. Step 3: Cross multiply
    10,999.51x = 15,175.81 × 6,746.20
  4. Step 4: Simplify right side
    10,999.51x = 102,379,049.42
  5. Step 5: Solve for x
    x = 102,379,049.42/10,999.51
  6. Step 6: Final answer
    x = 9,307.60

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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.