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Finding the Fourth Proportional to 21,178.08, 31,770 and 7,328.16

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Solution

The fourth proportional to 21,178.08, 31,770 and 7,328.16 is: 10,993.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.08 : 31,770 = 7,328.16 : x
  2. Step 2: Convert to fraction form
    21,178.08/31,770 = 7,328.16/x
  3. Step 3: Cross multiply
    21,178.08x = 31,770 × 7,328.16
  4. Step 4: Simplify right side
    21,178.08x = 232,815,643.20
  5. Step 5: Solve for x
    x = 232,815,643.20/21,178.08
  6. Step 6: Final answer
    x = 10,993.24

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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.