Home / 1,784.10-2,459.23-1,428.87

Finding the Fourth Proportional to 1,784.10, 2,459.23 and 1,428.87

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Solution

The fourth proportional to 1,784.10, 2,459.23 and 1,428.87 is: 1,969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.10 : 2,459.23 = 1,428.87 : x
  2. Step 2: Convert to fraction form
    1,784.10/2,459.23 = 1,428.87/x
  3. Step 3: Cross multiply
    1,784.10x = 2,459.23 × 1,428.87
  4. Step 4: Simplify right side
    1,784.10x = 3,513,916.40
  5. Step 5: Solve for x
    x = 3,513,916.40/1,784.10
  6. Step 6: Final answer
    x = 1,969.57

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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.