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Finding the Fourth Proportional to 1,679.84, 2,510.50 and 1,242.02

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Solution

The fourth proportional to 1,679.84, 2,510.50 and 1,242.02 is: 1,856.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.84 : 2,510.50 = 1,242.02 : x
  2. Step 2: Convert to fraction form
    1,679.84/2,510.50 = 1,242.02/x
  3. Step 3: Cross multiply
    1,679.84x = 2,510.50 × 1,242.02
  4. Step 4: Simplify right side
    1,679.84x = 3,118,091.21
  5. Step 5: Solve for x
    x = 3,118,091.21/1,679.84
  6. Step 6: Final answer
    x = 1,856.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.