Home / 1,822.61-2,516.78-1,428.95

Finding the Fourth Proportional to 1,822.61, 2,516.78 and 1,428.95

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Solution

The fourth proportional to 1,822.61, 2,516.78 and 1,428.95 is: 1,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.61 : 2,516.78 = 1,428.95 : x
  2. Step 2: Convert to fraction form
    1,822.61/2,516.78 = 1,428.95/x
  3. Step 3: Cross multiply
    1,822.61x = 2,516.78 × 1,428.95
  4. Step 4: Simplify right side
    1,822.61x = 3,596,343.77
  5. Step 5: Solve for x
    x = 3,596,343.77/1,822.61
  6. Step 6: Final answer
    x = 1,973.19

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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.