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Finding the Fourth Proportional to 2,349.99, 3,525 and 1,051.20

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Solution

The fourth proportional to 2,349.99, 3,525 and 1,051.20 is: 1,576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.99 : 3,525 = 1,051.20 : x
  2. Step 2: Convert to fraction form
    2,349.99/3,525 = 1,051.20/x
  3. Step 3: Cross multiply
    2,349.99x = 3,525 × 1,051.20
  4. Step 4: Simplify right side
    2,349.99x = 3,705,480
  5. Step 5: Solve for x
    x = 3,705,480/2,349.99
  6. Step 6: Final answer
    x = 1,576.81

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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.