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Finding the Fourth Proportional to 3,389.70, 5,083.72 and 924.53

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Solution

The fourth proportional to 3,389.70, 5,083.72 and 924.53 is: 1,386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.70 : 5,083.72 = 924.53 : x
  2. Step 2: Convert to fraction form
    3,389.70/5,083.72 = 924.53/x
  3. Step 3: Cross multiply
    3,389.70x = 5,083.72 × 924.53
  4. Step 4: Simplify right side
    3,389.70x = 4,700,051.65
  5. Step 5: Solve for x
    x = 4,700,051.65/3,389.70
  6. Step 6: Final answer
    x = 1,386.57

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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.