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Finding the Fourth Proportional to 21,309.18, 31,977.99 and 7,458.18

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Solution

The fourth proportional to 21,309.18, 31,977.99 and 7,458.18 is: 11,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,309.18 : 31,977.99 = 7,458.18 : x
  2. Step 2: Convert to fraction form
    21,309.18/31,977.99 = 7,458.18/x
  3. Step 3: Cross multiply
    21,309.18x = 31,977.99 × 7,458.18
  4. Step 4: Simplify right side
    21,309.18x = 238,497,605.46
  5. Step 5: Solve for x
    x = 238,497,605.46/21,309.18
  6. Step 6: Final answer
    x = 11,192.25

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1.5x scale

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.