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Finding the Fourth Proportional to 2,881.98, 4,322.55 and 802.13

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Solution

The fourth proportional to 2,881.98, 4,322.55 and 802.13 is: 1,203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.98 : 4,322.55 = 802.13 : x
  2. Step 2: Convert to fraction form
    2,881.98/4,322.55 = 802.13/x
  3. Step 3: Cross multiply
    2,881.98x = 4,322.55 × 802.13
  4. Step 4: Simplify right side
    2,881.98x = 3,467,225.42
  5. Step 5: Solve for x
    x = 3,467,225.42/2,881.98
  6. Step 6: Final answer
    x = 1,203.07

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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.