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Finding the Fourth Proportional to 3,506.00, 5,259.80 and 1,315.76

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Solution

The fourth proportional to 3,506.00, 5,259.80 and 1,315.76 is: 1,973.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.00 : 5,259.80 = 1,315.76 : x
  2. Step 2: Convert to fraction form
    3,506.00/5,259.80 = 1,315.76/x
  3. Step 3: Cross multiply
    3,506.00x = 5,259.80 × 1,315.76
  4. Step 4: Simplify right side
    3,506.00x = 6,920,611.44
  5. Step 5: Solve for x
    x = 6,920,611.44/3,506.00
  6. Step 6: Final answer
    x = 1,973.94

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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.