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Finding the Fourth Proportional to 1,898.87, 2,620.62 and 1,153.08

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Solution

The fourth proportional to 1,898.87, 2,620.62 and 1,153.08 is: 1,591.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.87 : 2,620.62 = 1,153.08 : x
  2. Step 2: Convert to fraction form
    1,898.87/2,620.62 = 1,153.08/x
  3. Step 3: Cross multiply
    1,898.87x = 2,620.62 × 1,153.08
  4. Step 4: Simplify right side
    1,898.87x = 3,021,784.51
  5. Step 5: Solve for x
    x = 3,021,784.51/1,898.87
  6. Step 6: Final answer
    x = 1,591.36

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1.5x scale

Why These Related Problems?

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