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Finding the Fourth Proportional to 12,711.64, 17,541.75 and 7,406.11

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Solution

The fourth proportional to 12,711.64, 17,541.75 and 7,406.11 is: 10,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.64 : 17,541.75 = 7,406.11 : x
  2. Step 2: Convert to fraction form
    12,711.64/17,541.75 = 7,406.11/x
  3. Step 3: Cross multiply
    12,711.64x = 17,541.75 × 7,406.11
  4. Step 4: Simplify right side
    12,711.64x = 129,916,130.09
  5. Step 5: Solve for x
    x = 129,916,130.09/12,711.64
  6. Step 6: Final answer
    x = 10,220.25

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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.