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Finding the Fourth Proportional to 15,784.22, 21,782.28 and 8,614.28

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Solution

The fourth proportional to 15,784.22, 21,782.28 and 8,614.28 is: 11,887.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.22 : 21,782.28 = 8,614.28 : x
  2. Step 2: Convert to fraction form
    15,784.22/21,782.28 = 8,614.28/x
  3. Step 3: Cross multiply
    15,784.22x = 21,782.28 × 8,614.28
  4. Step 4: Simplify right side
    15,784.22x = 187,638,658.96
  5. Step 5: Solve for x
    x = 187,638,658.96/15,784.22
  6. Step 6: Final answer
    x = 11,887.74

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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.