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Finding the Fourth Proportional to 3,712, 5,564.29 and 1,857.45

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Solution

The fourth proportional to 3,712, 5,564.29 and 1,857.45 is: 2,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712 : 5,564.29 = 1,857.45 : x
  2. Step 2: Convert to fraction form
    3,712/5,564.29 = 1,857.45/x
  3. Step 3: Cross multiply
    3,712x = 5,564.29 × 1,857.45
  4. Step 4: Simplify right side
    3,712x = 10,335,390.46
  5. Step 5: Solve for x
    x = 10,335,390.46/3,712
  6. Step 6: Final answer
    x = 2,784.32

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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.