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Finding the Fourth Proportional to 2,776.56, 4,164.96 and 802.32

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Solution

The fourth proportional to 2,776.56, 4,164.96 and 802.32 is: 1,203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.56 : 4,164.96 = 802.32 : x
  2. Step 2: Convert to fraction form
    2,776.56/4,164.96 = 802.32/x
  3. Step 3: Cross multiply
    2,776.56x = 4,164.96 × 802.32
  4. Step 4: Simplify right side
    2,776.56x = 3,341,630.71
  5. Step 5: Solve for x
    x = 3,341,630.71/2,776.56
  6. Step 6: Final answer
    x = 1,203.51

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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.