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Finding the Fourth Proportional to 1,575.78, 2,351.36 and 1,411.80

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Solution

The fourth proportional to 1,575.78, 2,351.36 and 1,411.80 is: 2,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.78 : 2,351.36 = 1,411.80 : x
  2. Step 2: Convert to fraction form
    1,575.78/2,351.36 = 1,411.80/x
  3. Step 3: Cross multiply
    1,575.78x = 2,351.36 × 1,411.80
  4. Step 4: Simplify right side
    1,575.78x = 3,319,642.99
  5. Step 5: Solve for x
    x = 3,319,642.99/1,575.78
  6. Step 6: Final answer
    x = 2,106.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.