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Finding the Fourth Proportional to 1,897.52, 2,618.32 and 1,151.51

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Solution

The fourth proportional to 1,897.52, 2,618.32 and 1,151.51 is: 1,588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.52 : 2,618.32 = 1,151.51 : x
  2. Step 2: Convert to fraction form
    1,897.52/2,618.32 = 1,151.51/x
  3. Step 3: Cross multiply
    1,897.52x = 2,618.32 × 1,151.51
  4. Step 4: Simplify right side
    1,897.52x = 3,015,019.83
  5. Step 5: Solve for x
    x = 3,015,019.83/1,897.52
  6. Step 6: Final answer
    x = 1,588.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.