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Finding the Fourth Proportional to 1,875.71, 2,588.09 and 1,089.31

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Solution

The fourth proportional to 1,875.71, 2,588.09 and 1,089.31 is: 1,503.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.71 : 2,588.09 = 1,089.31 : x
  2. Step 2: Convert to fraction form
    1,875.71/2,588.09 = 1,089.31/x
  3. Step 3: Cross multiply
    1,875.71x = 2,588.09 × 1,089.31
  4. Step 4: Simplify right side
    1,875.71x = 2,819,220.40
  5. Step 5: Solve for x
    x = 2,819,220.40/1,875.71
  6. Step 6: Final answer
    x = 1,503.01

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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.