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Finding the Fourth Proportional to 1,871.58, 2,802.34 and 1,523.48

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Solution

The fourth proportional to 1,871.58, 2,802.34 and 1,523.48 is: 2,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.58 : 2,802.34 = 1,523.48 : x
  2. Step 2: Convert to fraction form
    1,871.58/2,802.34 = 1,523.48/x
  3. Step 3: Cross multiply
    1,871.58x = 2,802.34 × 1,523.48
  4. Step 4: Simplify right side
    1,871.58x = 4,269,312.14
  5. Step 5: Solve for x
    x = 4,269,312.14/1,871.58
  6. Step 6: Final answer
    x = 2,281.13

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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.