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Finding the Fourth Proportional to 1,969.59, 2,718.14 and 1,130.28

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Solution

The fourth proportional to 1,969.59, 2,718.14 and 1,130.28 is: 1,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.59 : 2,718.14 = 1,130.28 : x
  2. Step 2: Convert to fraction form
    1,969.59/2,718.14 = 1,130.28/x
  3. Step 3: Cross multiply
    1,969.59x = 2,718.14 × 1,130.28
  4. Step 4: Simplify right side
    1,969.59x = 3,072,259.28
  5. Step 5: Solve for x
    x = 3,072,259.28/1,969.59
  6. Step 6: Final answer
    x = 1,559.85

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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.