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Finding the Fourth Proportional to 3,214.99, 4,822.79 and 875.03

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Solution

The fourth proportional to 3,214.99, 4,822.79 and 875.03 is: 1,312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.99 : 4,822.79 = 875.03 : x
  2. Step 2: Convert to fraction form
    3,214.99/4,822.79 = 875.03/x
  3. Step 3: Cross multiply
    3,214.99x = 4,822.79 × 875.03
  4. Step 4: Simplify right side
    3,214.99x = 4,220,075.93
  5. Step 5: Solve for x
    x = 4,220,075.93/3,214.99
  6. Step 6: Final answer
    x = 1,312.62

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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.