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Finding the Fourth Proportional to 1,420.82, 2,127.58 and 802.08

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Solution

The fourth proportional to 1,420.82, 2,127.58 and 802.08 is: 1,201.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.82 : 2,127.58 = 802.08 : x
  2. Step 2: Convert to fraction form
    1,420.82/2,127.58 = 802.08/x
  3. Step 3: Cross multiply
    1,420.82x = 2,127.58 × 802.08
  4. Step 4: Simplify right side
    1,420.82x = 1,706,489.37
  5. Step 5: Solve for x
    x = 1,706,489.37/1,420.82
  6. Step 6: Final answer
    x = 1,201.06

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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.