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Finding the Fourth Proportional to 2,854.19, 4,281.48 and 907.76

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Solution

The fourth proportional to 2,854.19, 4,281.48 and 907.76 is: 1,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.19 : 4,281.48 = 907.76 : x
  2. Step 2: Convert to fraction form
    2,854.19/4,281.48 = 907.76/x
  3. Step 3: Cross multiply
    2,854.19x = 4,281.48 × 907.76
  4. Step 4: Simplify right side
    2,854.19x = 3,886,534.88
  5. Step 5: Solve for x
    x = 3,886,534.88/2,854.19
  6. Step 6: Final answer
    x = 1,361.70

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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.