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Finding the Fourth Proportional to 2,715.93, 4,074.40 and 866.87

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Solution

The fourth proportional to 2,715.93, 4,074.40 and 866.87 is: 1,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.93 : 4,074.40 = 866.87 : x
  2. Step 2: Convert to fraction form
    2,715.93/4,074.40 = 866.87/x
  3. Step 3: Cross multiply
    2,715.93x = 4,074.40 × 866.87
  4. Step 4: Simplify right side
    2,715.93x = 3,531,971.12
  5. Step 5: Solve for x
    x = 3,531,971.12/2,715.93
  6. Step 6: Final answer
    x = 1,300.46

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1.5x scale

Why These Related Problems?

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