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Finding the Fourth Proportional to 2,607.50, 3,598.42 and 1,428.68

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Solution

The fourth proportional to 2,607.50, 3,598.42 and 1,428.68 is: 1,971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.50 : 3,598.42 = 1,428.68 : x
  2. Step 2: Convert to fraction form
    2,607.50/3,598.42 = 1,428.68/x
  3. Step 3: Cross multiply
    2,607.50x = 3,598.42 × 1,428.68
  4. Step 4: Simplify right side
    2,607.50x = 5,140,990.69
  5. Step 5: Solve for x
    x = 5,140,990.69/2,607.50
  6. Step 6: Final answer
    x = 1,971.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.