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Finding the Fourth Proportional to 1,878.64, 2,590.83 and 1,564.94

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Solution

The fourth proportional to 1,878.64, 2,590.83 and 1,564.94 is: 2,158.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.64 : 2,590.83 = 1,564.94 : x
  2. Step 2: Convert to fraction form
    1,878.64/2,590.83 = 1,564.94/x
  3. Step 3: Cross multiply
    1,878.64x = 2,590.83 × 1,564.94
  4. Step 4: Simplify right side
    1,878.64x = 4,054,493.50
  5. Step 5: Solve for x
    x = 4,054,493.50/1,878.64
  6. Step 6: Final answer
    x = 2,158.21

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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.