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Finding the Fourth Proportional to 2,993.72, 4,490.70 and 802.64

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Solution

The fourth proportional to 2,993.72, 4,490.70 and 802.64 is: 1,203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.72 : 4,490.70 = 802.64 : x
  2. Step 2: Convert to fraction form
    2,993.72/4,490.70 = 802.64/x
  3. Step 3: Cross multiply
    2,993.72x = 4,490.70 × 802.64
  4. Step 4: Simplify right side
    2,993.72x = 3,604,415.45
  5. Step 5: Solve for x
    x = 3,604,415.45/2,993.72
  6. Step 6: Final answer
    x = 1,203.99

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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.