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Finding the Fourth Proportional to 2,893.80, 4,340.70 and 1,357.80

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Solution

The fourth proportional to 2,893.80, 4,340.70 and 1,357.80 is: 2,036.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.80 : 4,340.70 = 1,357.80 : x
  2. Step 2: Convert to fraction form
    2,893.80/4,340.70 = 1,357.80/x
  3. Step 3: Cross multiply
    2,893.80x = 4,340.70 × 1,357.80
  4. Step 4: Simplify right side
    2,893.80x = 5,893,802.46
  5. Step 5: Solve for x
    x = 5,893,802.46/2,893.80
  6. Step 6: Final answer
    x = 2,036.70

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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.