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Finding the Fourth Proportional to 5,192.47, 7,788 and 1,905.13

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Solution

The fourth proportional to 5,192.47, 7,788 and 1,905.13 is: 2,857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.47 : 7,788 = 1,905.13 : x
  2. Step 2: Convert to fraction form
    5,192.47/7,788 = 1,905.13/x
  3. Step 3: Cross multiply
    5,192.47x = 7,788 × 1,905.13
  4. Step 4: Simplify right side
    5,192.47x = 14,837,113.50
  5. Step 5: Solve for x
    x = 14,837,113.50/5,192.47
  6. Step 6: Final answer
    x = 2,857.43

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1.5x scale

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.