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Finding the Fourth Proportional to 12,607.71, 17,400.75 and 7,305.75

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Solution

The fourth proportional to 12,607.71, 17,400.75 and 7,305.75 is: 10,083.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,607.71 : 17,400.75 = 7,305.75 : x
  2. Step 2: Convert to fraction form
    12,607.71/17,400.75 = 7,305.75/x
  3. Step 3: Cross multiply
    12,607.71x = 17,400.75 × 7,305.75
  4. Step 4: Simplify right side
    12,607.71x = 127,125,529.31
  5. Step 5: Solve for x
    x = 127,125,529.31/12,607.71
  6. Step 6: Final answer
    x = 10,083.16

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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.