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Finding the Fourth Proportional to 12,743.16, 17,585.58 and 7,077.75

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Solution

The fourth proportional to 12,743.16, 17,585.58 and 7,077.75 is: 9,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,743.16 : 17,585.58 = 7,077.75 : x
  2. Step 2: Convert to fraction form
    12,743.16/17,585.58 = 7,077.75/x
  3. Step 3: Cross multiply
    12,743.16x = 17,585.58 × 7,077.75
  4. Step 4: Simplify right side
    12,743.16x = 124,466,405.52
  5. Step 5: Solve for x
    x = 124,466,405.52/12,743.16
  6. Step 6: Final answer
    x = 9,767.31

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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.