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Finding the Fourth Proportional to 1,875.84, 2,588.81 and 1,089.95

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Solution

The fourth proportional to 1,875.84, 2,588.81 and 1,089.95 is: 1,504.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.84 : 2,588.81 = 1,089.95 : x
  2. Step 2: Convert to fraction form
    1,875.84/2,588.81 = 1,089.95/x
  3. Step 3: Cross multiply
    1,875.84x = 2,588.81 × 1,089.95
  4. Step 4: Simplify right side
    1,875.84x = 2,821,655.07
  5. Step 5: Solve for x
    x = 2,821,655.07/1,875.84
  6. Step 6: Final answer
    x = 1,504.21

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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.