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Finding the Fourth Proportional to 15,521.40, 21,420 and 8,448.28

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Solution

The fourth proportional to 15,521.40, 21,420 and 8,448.28 is: 11,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,521.40 : 21,420 = 8,448.28 : x
  2. Step 2: Convert to fraction form
    15,521.40/21,420 = 8,448.28/x
  3. Step 3: Cross multiply
    15,521.40x = 21,420 × 8,448.28
  4. Step 4: Simplify right side
    15,521.40x = 180,962,157.60
  5. Step 5: Solve for x
    x = 180,962,157.60/15,521.40
  6. Step 6: Final answer
    x = 11,658.88

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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.