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Finding the Fourth Proportional to 1,875.61, 2,812.83 and 1,353.97

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Solution

The fourth proportional to 1,875.61, 2,812.83 and 1,353.97 is: 2,030.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.61 : 2,812.83 = 1,353.97 : x
  2. Step 2: Convert to fraction form
    1,875.61/2,812.83 = 1,353.97/x
  3. Step 3: Cross multiply
    1,875.61x = 2,812.83 × 1,353.97
  4. Step 4: Simplify right side
    1,875.61x = 3,808,487.44
  5. Step 5: Solve for x
    x = 3,808,487.44/1,875.61
  6. Step 6: Final answer
    x = 2,030.53

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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.