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Finding the Fourth Proportional to 16,957.16, 25,416 and 6,420.48

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Solution

The fourth proportional to 16,957.16, 25,416 and 6,420.48 is: 9,623.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,957.16 : 25,416 = 6,420.48 : x
  2. Step 2: Convert to fraction form
    16,957.16/25,416 = 6,420.48/x
  3. Step 3: Cross multiply
    16,957.16x = 25,416 × 6,420.48
  4. Step 4: Simplify right side
    16,957.16x = 163,182,919.68
  5. Step 5: Solve for x
    x = 163,182,919.68/16,957.16
  6. Step 6: Final answer
    x = 9,623.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.