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Finding the Fourth Proportional to 15,814.70, 21,820.02 and 9,102.23

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Solution

The fourth proportional to 15,814.70, 21,820.02 and 9,102.23 is: 12,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.70 : 21,820.02 = 9,102.23 : x
  2. Step 2: Convert to fraction form
    15,814.70/21,820.02 = 9,102.23/x
  3. Step 3: Cross multiply
    15,814.70x = 21,820.02 × 9,102.23
  4. Step 4: Simplify right side
    15,814.70x = 198,610,840.64
  5. Step 5: Solve for x
    x = 198,610,840.64/15,814.70
  6. Step 6: Final answer
    x = 12,558.62

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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.