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Finding the Fourth Proportional to 2,898.02, 4,001.46 and 1,780.50

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Solution

The fourth proportional to 2,898.02, 4,001.46 and 1,780.50 is: 2,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.02 : 4,001.46 = 1,780.50 : x
  2. Step 2: Convert to fraction form
    2,898.02/4,001.46 = 1,780.50/x
  3. Step 3: Cross multiply
    2,898.02x = 4,001.46 × 1,780.50
  4. Step 4: Simplify right side
    2,898.02x = 7,124,599.53
  5. Step 5: Solve for x
    x = 7,124,599.53/2,898.02
  6. Step 6: Final answer
    x = 2,458.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.