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Finding the Fourth Proportional to 38,718, 53,430.84 and 21,951

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Solution

The fourth proportional to 38,718, 53,430.84 and 21,951 is: 30,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,718 : 53,430.84 = 21,951 : x
  2. Step 2: Convert to fraction form
    38,718/53,430.84 = 21,951/x
  3. Step 3: Cross multiply
    38,718x = 53,430.84 × 21,951
  4. Step 4: Simplify right side
    38,718x = 1,172,860,368.84
  5. Step 5: Solve for x
    x = 1,172,860,368.84/38,718
  6. Step 6: Final answer
    x = 30,292.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.