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Finding the Fourth Proportional to 35,309.88, 52,980.21 and 13,118.31

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Solution

The fourth proportional to 35,309.88, 52,980.21 and 13,118.31 is: 19,683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,309.88 : 52,980.21 = 13,118.31 : x
  2. Step 2: Convert to fraction form
    35,309.88/52,980.21 = 13,118.31/x
  3. Step 3: Cross multiply
    35,309.88x = 52,980.21 × 13,118.31
  4. Step 4: Simplify right side
    35,309.88x = 695,010,818.65
  5. Step 5: Solve for x
    x = 695,010,818.65/35,309.88
  6. Step 6: Final answer
    x = 19,683.18

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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.