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Finding the Fourth Proportional to 21,054, 31,590.84 and 9,206.23

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Solution

The fourth proportional to 21,054, 31,590.84 and 9,206.23 is: 13,813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,054 : 31,590.84 = 9,206.23 : x
  2. Step 2: Convert to fraction form
    21,054/31,590.84 = 9,206.23/x
  3. Step 3: Cross multiply
    21,054x = 31,590.84 × 9,206.23
  4. Step 4: Simplify right side
    21,054x = 290,832,538.93
  5. Step 5: Solve for x
    x = 290,832,538.93/21,054
  6. Step 6: Final answer
    x = 13,813.65

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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.