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Finding the Fourth Proportional to 1,875.84, 2,813.78 and 577.32

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Solution

The fourth proportional to 1,875.84, 2,813.78 and 577.32 is: 865.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.84 : 2,813.78 = 577.32 : x
  2. Step 2: Convert to fraction form
    1,875.84/2,813.78 = 577.32/x
  3. Step 3: Cross multiply
    1,875.84x = 2,813.78 × 577.32
  4. Step 4: Simplify right side
    1,875.84x = 1,624,451.47
  5. Step 5: Solve for x
    x = 1,624,451.47/1,875.84
  6. Step 6: Final answer
    x = 865.99

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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.