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Finding the Fourth Proportional to 1,428.30, 1,970.19 and 1,034.64

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Solution

The fourth proportional to 1,428.30, 1,970.19 and 1,034.64 is: 1,427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.30 : 1,970.19 = 1,034.64 : x
  2. Step 2: Convert to fraction form
    1,428.30/1,970.19 = 1,034.64/x
  3. Step 3: Cross multiply
    1,428.30x = 1,970.19 × 1,034.64
  4. Step 4: Simplify right side
    1,428.30x = 2,038,437.38
  5. Step 5: Solve for x
    x = 2,038,437.38/1,428.30
  6. Step 6: Final answer
    x = 1,427.18

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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.