Home / 2,702.40-4,051.20-946.56

Finding the Fourth Proportional to 2,702.40, 4,051.20 and 946.56

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Solution

The fourth proportional to 2,702.40, 4,051.20 and 946.56 is: 1,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.40 : 4,051.20 = 946.56 : x
  2. Step 2: Convert to fraction form
    2,702.40/4,051.20 = 946.56/x
  3. Step 3: Cross multiply
    2,702.40x = 4,051.20 × 946.56
  4. Step 4: Simplify right side
    2,702.40x = 3,834,703.87
  5. Step 5: Solve for x
    x = 3,834,703.87/2,702.40
  6. Step 6: Final answer
    x = 1,419.00

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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.