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Finding the Fourth Proportional to 2,712, 3,742.56 and 1,470

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Solution

The fourth proportional to 2,712, 3,742.56 and 1,470 is: 2,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712 : 3,742.56 = 1,470 : x
  2. Step 2: Convert to fraction form
    2,712/3,742.56 = 1,470/x
  3. Step 3: Cross multiply
    2,712x = 3,742.56 × 1,470
  4. Step 4: Simplify right side
    2,712x = 5,501,563.20
  5. Step 5: Solve for x
    x = 5,501,563.20/2,712
  6. Step 6: Final answer
    x = 2,028.60

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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.