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Finding the Fourth Proportional to 5,106, 7,660.28 and 1,458

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Solution

The fourth proportional to 5,106, 7,660.28 and 1,458 is: 2,187.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106 : 7,660.28 = 1,458 : x
  2. Step 2: Convert to fraction form
    5,106/7,660.28 = 1,458/x
  3. Step 3: Cross multiply
    5,106x = 7,660.28 × 1,458
  4. Step 4: Simplify right side
    5,106x = 11,168,688.24
  5. Step 5: Solve for x
    x = 11,168,688.24/5,106
  6. Step 6: Final answer
    x = 2,187.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.