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Finding the Fourth Proportional to 15,724, 21,700.16 and 9,100

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Solution

The fourth proportional to 15,724, 21,700.16 and 9,100 is: 12,558.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724 : 21,700.16 = 9,100 : x
  2. Step 2: Convert to fraction form
    15,724/21,700.16 = 9,100/x
  3. Step 3: Cross multiply
    15,724x = 21,700.16 × 9,100
  4. Step 4: Simplify right side
    15,724x = 197,471,456
  5. Step 5: Solve for x
    x = 197,471,456/15,724
  6. Step 6: Final answer
    x = 12,558.60

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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.