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Finding the Fourth Proportional to 14,700.72, 20,287.02 and 7,986.29

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Solution

The fourth proportional to 14,700.72, 20,287.02 and 7,986.29 is: 11,021.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,700.72 : 20,287.02 = 7,986.29 : x
  2. Step 2: Convert to fraction form
    14,700.72/20,287.02 = 7,986.29/x
  3. Step 3: Cross multiply
    14,700.72x = 20,287.02 × 7,986.29
  4. Step 4: Simplify right side
    14,700.72x = 162,018,024.96
  5. Step 5: Solve for x
    x = 162,018,024.96/14,700.72
  6. Step 6: Final answer
    x = 11,021.09

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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.