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Finding the Fourth Proportional to 12,407.93, 17,122.95 and 6,742.74

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Solution

The fourth proportional to 12,407.93, 17,122.95 and 6,742.74 is: 9,304.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.93 : 17,122.95 = 6,742.74 : x
  2. Step 2: Convert to fraction form
    12,407.93/17,122.95 = 6,742.74/x
  3. Step 3: Cross multiply
    12,407.93x = 17,122.95 × 6,742.74
  4. Step 4: Simplify right side
    12,407.93x = 115,455,664.09
  5. Step 5: Solve for x
    x = 115,455,664.09/12,407.93
  6. Step 6: Final answer
    x = 9,304.99

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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.