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Finding the Fourth Proportional to 15,513, 21,406.80 and 8,439.24

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Solution

The fourth proportional to 15,513, 21,406.80 and 8,439.24 is: 11,645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,513 : 21,406.80 = 8,439.24 : x
  2. Step 2: Convert to fraction form
    15,513/21,406.80 = 8,439.24/x
  3. Step 3: Cross multiply
    15,513x = 21,406.80 × 8,439.24
  4. Step 4: Simplify right side
    15,513x = 180,657,122.83
  5. Step 5: Solve for x
    x = 180,657,122.83/15,513
  6. Step 6: Final answer
    x = 11,645.53

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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.