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Finding the Fourth Proportional to 1,897.63, 2,846.75 and 802.31

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Solution

The fourth proportional to 1,897.63, 2,846.75 and 802.31 is: 1,203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.63 : 2,846.75 = 802.31 : x
  2. Step 2: Convert to fraction form
    1,897.63/2,846.75 = 802.31/x
  3. Step 3: Cross multiply
    1,897.63x = 2,846.75 × 802.31
  4. Step 4: Simplify right side
    1,897.63x = 2,283,957.75
  5. Step 5: Solve for x
    x = 2,283,957.75/1,897.63
  6. Step 6: Final answer
    x = 1,203.59

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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.