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Finding the Fourth Proportional to 12,175.78, 16,802.58 and 6,871.72

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Solution

The fourth proportional to 12,175.78, 16,802.58 and 6,871.72 is: 9,482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.78 : 16,802.58 = 6,871.72 : x
  2. Step 2: Convert to fraction form
    12,175.78/16,802.58 = 6,871.72/x
  3. Step 3: Cross multiply
    12,175.78x = 16,802.58 × 6,871.72
  4. Step 4: Simplify right side
    12,175.78x = 115,462,625.04
  5. Step 5: Solve for x
    x = 115,462,625.04/12,175.78
  6. Step 6: Final answer
    x = 9,482.98

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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.