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Finding the Fourth Proportional to 12,301.40, 16,978.26 and 7,704.31

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Solution

The fourth proportional to 12,301.40, 16,978.26 and 7,704.31 is: 10,633.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.40 : 16,978.26 = 7,704.31 : x
  2. Step 2: Convert to fraction form
    12,301.40/16,978.26 = 7,704.31/x
  3. Step 3: Cross multiply
    12,301.40x = 16,978.26 × 7,704.31
  4. Step 4: Simplify right side
    12,301.40x = 130,805,782.22
  5. Step 5: Solve for x
    x = 130,805,782.22/12,301.40
  6. Step 6: Final answer
    x = 10,633.40

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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.