Home / 1,428.17-1,971.81-1,098.32

Finding the Fourth Proportional to 1,428.17, 1,971.81 and 1,098.32

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Solution

The fourth proportional to 1,428.17, 1,971.81 and 1,098.32 is: 1,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.17 : 1,971.81 = 1,098.32 : x
  2. Step 2: Convert to fraction form
    1,428.17/1,971.81 = 1,098.32/x
  3. Step 3: Cross multiply
    1,428.17x = 1,971.81 × 1,098.32
  4. Step 4: Simplify right side
    1,428.17x = 2,165,668.50
  5. Step 5: Solve for x
    x = 2,165,668.50/1,428.17
  6. Step 6: Final answer
    x = 1,516.40

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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.