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Finding the Fourth Proportional to 20,700, 31,054.59 and 7,552.33

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Solution

The fourth proportional to 20,700, 31,054.59 and 7,552.33 is: 11,330.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,700 : 31,054.59 = 7,552.33 : x
  2. Step 2: Convert to fraction form
    20,700/31,054.59 = 7,552.33/x
  3. Step 3: Cross multiply
    20,700x = 31,054.59 × 7,552.33
  4. Step 4: Simplify right side
    20,700x = 234,534,434.06
  5. Step 5: Solve for x
    x = 234,534,434.06/20,700
  6. Step 6: Final answer
    x = 11,330.17

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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.