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Finding the Fourth Proportional to 1,897.99, 2,847.28 and 802.36

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Solution

The fourth proportional to 1,897.99, 2,847.28 and 802.36 is: 1,203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.99 : 2,847.28 = 802.36 : x
  2. Step 2: Convert to fraction form
    1,897.99/2,847.28 = 802.36/x
  3. Step 3: Cross multiply
    1,897.99x = 2,847.28 × 802.36
  4. Step 4: Simplify right side
    1,897.99x = 2,284,534.46
  5. Step 5: Solve for x
    x = 2,284,534.46/1,897.99
  6. Step 6: Final answer
    x = 1,203.66

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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.