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Finding the Fourth Proportional to 1,428.30, 1,886.10 and 1,428.30

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Solution

The fourth proportional to 1,428.30, 1,886.10 and 1,428.30 is: 1,886.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.30 : 1,886.10 = 1,428.30 : x
  2. Step 2: Convert to fraction form
    1,428.30/1,886.10 = 1,428.30/x
  3. Step 3: Cross multiply
    1,428.30x = 1,886.10 × 1,428.30
  4. Step 4: Simplify right side
    1,428.30x = 2,693,916.63
  5. Step 5: Solve for x
    x = 2,693,916.63/1,428.30
  6. Step 6: Final answer
    x = 1,886.10

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.