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Finding the Fourth Proportional to 12,840.74, 17,719.41 and 7,175.06

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Solution

The fourth proportional to 12,840.74, 17,719.41 and 7,175.06 is: 9,901.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.74 : 17,719.41 = 7,175.06 : x
  2. Step 2: Convert to fraction form
    12,840.74/17,719.41 = 7,175.06/x
  3. Step 3: Cross multiply
    12,840.74x = 17,719.41 × 7,175.06
  4. Step 4: Simplify right side
    12,840.74x = 127,137,829.91
  5. Step 5: Solve for x
    x = 127,137,829.91/12,840.74
  6. Step 6: Final answer
    x = 9,901.13

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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.