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Finding the Fourth Proportional to 30,285.38, 41,795.02 and 16,857.20

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Solution

The fourth proportional to 30,285.38, 41,795.02 and 16,857.20 is: 23,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285.38 : 41,795.02 = 16,857.20 : x
  2. Step 2: Convert to fraction form
    30,285.38/41,795.02 = 16,857.20/x
  3. Step 3: Cross multiply
    30,285.38x = 41,795.02 × 16,857.20
  4. Step 4: Simplify right side
    30,285.38x = 704,547,011.14
  5. Step 5: Solve for x
    x = 704,547,011.14/30,285.38
  6. Step 6: Final answer
    x = 23,263.60

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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.