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Finding the Fourth Proportional to 30,210, 41,690.98 and 16,782.28

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Solution

The fourth proportional to 30,210, 41,690.98 and 16,782.28 is: 23,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,210 : 41,690.98 = 16,782.28 : x
  2. Step 2: Convert to fraction form
    30,210/41,690.98 = 16,782.28/x
  3. Step 3: Cross multiply
    30,210x = 41,690.98 × 16,782.28
  4. Step 4: Simplify right side
    30,210x = 699,669,699.83
  5. Step 5: Solve for x
    x = 699,669,699.83/30,210
  6. Step 6: Final answer
    x = 23,160.20

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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.