Home / 2,307.84-3,462.91-923.87

Finding the Fourth Proportional to 2,307.84, 3,462.91 and 923.87

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Solution

The fourth proportional to 2,307.84, 3,462.91 and 923.87 is: 1,386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.84 : 3,462.91 = 923.87 : x
  2. Step 2: Convert to fraction form
    2,307.84/3,462.91 = 923.87/x
  3. Step 3: Cross multiply
    2,307.84x = 3,462.91 × 923.87
  4. Step 4: Simplify right side
    2,307.84x = 3,199,278.66
  5. Step 5: Solve for x
    x = 3,199,278.66/2,307.84
  6. Step 6: Final answer
    x = 1,386.27

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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.