Home / 1,386.90-2,082.16-976.22

Finding the Fourth Proportional to 1,386.90, 2,082.16 and 976.22

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Solution

The fourth proportional to 1,386.90, 2,082.16 and 976.22 is: 1,465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.90 : 2,082.16 = 976.22 : x
  2. Step 2: Convert to fraction form
    1,386.90/2,082.16 = 976.22/x
  3. Step 3: Cross multiply
    1,386.90x = 2,082.16 × 976.22
  4. Step 4: Simplify right side
    1,386.90x = 2,032,646.24
  5. Step 5: Solve for x
    x = 2,032,646.24/1,386.90
  6. Step 6: Final answer
    x = 1,465.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.