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Finding the Fourth Proportional to 15,353.68, 21,174 and 11,384.68

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Solution

The fourth proportional to 15,353.68, 21,174 and 11,384.68 is: 15,700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,353.68 : 21,174 = 11,384.68 : x
  2. Step 2: Convert to fraction form
    15,353.68/21,174 = 11,384.68/x
  3. Step 3: Cross multiply
    15,353.68x = 21,174 × 11,384.68
  4. Step 4: Simplify right side
    15,353.68x = 241,059,214.32
  5. Step 5: Solve for x
    x = 241,059,214.32/15,353.68
  6. Step 6: Final answer
    x = 15,700.42

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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.