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Finding the Fourth Proportional to 10,485, 15,728.40 and 3,465

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Solution

The fourth proportional to 10,485, 15,728.40 and 3,465 is: 5,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485 : 15,728.40 = 3,465 : x
  2. Step 2: Convert to fraction form
    10,485/15,728.40 = 3,465/x
  3. Step 3: Cross multiply
    10,485x = 15,728.40 × 3,465
  4. Step 4: Simplify right side
    10,485x = 54,498,906
  5. Step 5: Solve for x
    x = 54,498,906/10,485
  6. Step 6: Final answer
    x = 5,197.80

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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.