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Finding the Fourth Proportional to 2,474.98, 3,707.60 and 1,780.00

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Solution

The fourth proportional to 2,474.98, 3,707.60 and 1,780.00 is: 2,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.98 : 3,707.60 = 1,780.00 : x
  2. Step 2: Convert to fraction form
    2,474.98/3,707.60 = 1,780.00/x
  3. Step 3: Cross multiply
    2,474.98x = 3,707.60 × 1,780.00
  4. Step 4: Simplify right side
    2,474.98x = 6,599,509.83
  5. Step 5: Solve for x
    x = 6,599,509.83/2,474.98
  6. Step 6: Final answer
    x = 2,666.49

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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.