Home / 1,538.36-2,307.32-846.38

Finding the Fourth Proportional to 1,538.36, 2,307.32 and 846.38

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Solution

The fourth proportional to 1,538.36, 2,307.32 and 846.38 is: 1,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.36 : 2,307.32 = 846.38 : x
  2. Step 2: Convert to fraction form
    1,538.36/2,307.32 = 846.38/x
  3. Step 3: Cross multiply
    1,538.36x = 2,307.32 × 846.38
  4. Step 4: Simplify right side
    1,538.36x = 1,952,874.21
  5. Step 5: Solve for x
    x = 1,952,874.21/1,538.36
  6. Step 6: Final answer
    x = 1,269.45

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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.