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Finding the Fourth Proportional to 2,145.93, 2,961.50 and 1,306.50

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Solution

The fourth proportional to 2,145.93, 2,961.50 and 1,306.50 is: 1,803.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.93 : 2,961.50 = 1,306.50 : x
  2. Step 2: Convert to fraction form
    2,145.93/2,961.50 = 1,306.50/x
  3. Step 3: Cross multiply
    2,145.93x = 2,961.50 × 1,306.50
  4. Step 4: Simplify right side
    2,145.93x = 3,869,199.75
  5. Step 5: Solve for x
    x = 3,869,199.75/2,145.93
  6. Step 6: Final answer
    x = 1,803.04

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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.