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Finding the Fourth Proportional to 15,113, 20,857.24 and 8,490.28

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Solution

The fourth proportional to 15,113, 20,857.24 and 8,490.28 is: 11,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,113 : 20,857.24 = 8,490.28 : x
  2. Step 2: Convert to fraction form
    15,113/20,857.24 = 8,490.28/x
  3. Step 3: Cross multiply
    15,113x = 20,857.24 × 8,490.28
  4. Step 4: Simplify right side
    15,113x = 177,083,807.63
  5. Step 5: Solve for x
    x = 177,083,807.63/15,113
  6. Step 6: Final answer
    x = 11,717.32

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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.