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Finding the Fourth Proportional to 2,087.34, 3,130.94 and 854.40

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Solution

The fourth proportional to 2,087.34, 3,130.94 and 854.40 is: 1,281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.34 : 3,130.94 = 854.40 : x
  2. Step 2: Convert to fraction form
    2,087.34/3,130.94 = 854.40/x
  3. Step 3: Cross multiply
    2,087.34x = 3,130.94 × 854.40
  4. Step 4: Simplify right side
    2,087.34x = 2,675,075.14
  5. Step 5: Solve for x
    x = 2,675,075.14/2,087.34
  6. Step 6: Final answer
    x = 1,281.57

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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.