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Finding the Fourth Proportional to 3,511, 5,267.58 and 1,564.30

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Solution

The fourth proportional to 3,511, 5,267.58 and 1,564.30 is: 2,346.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511 : 5,267.58 = 1,564.30 : x
  2. Step 2: Convert to fraction form
    3,511/5,267.58 = 1,564.30/x
  3. Step 3: Cross multiply
    3,511x = 5,267.58 × 1,564.30
  4. Step 4: Simplify right side
    3,511x = 8,240,075.39
  5. Step 5: Solve for x
    x = 8,240,075.39/3,511
  6. Step 6: Final answer
    x = 2,346.93

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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.