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Finding the Fourth Proportional to 12,953.30, 17,865.24 and 8,411

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Solution

The fourth proportional to 12,953.30, 17,865.24 and 8,411 is: 11,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.30 : 17,865.24 = 8,411 : x
  2. Step 2: Convert to fraction form
    12,953.30/17,865.24 = 8,411/x
  3. Step 3: Cross multiply
    12,953.30x = 17,865.24 × 8,411
  4. Step 4: Simplify right side
    12,953.30x = 150,264,533.64
  5. Step 5: Solve for x
    x = 150,264,533.64/12,953.30
  6. Step 6: Final answer
    x = 11,600.48

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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.