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Finding the Fourth Proportional to 38,423, 53,023.74 and 21,656

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Solution

The fourth proportional to 38,423, 53,023.74 and 21,656 is: 29,885.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,423 : 53,023.74 = 21,656 : x
  2. Step 2: Convert to fraction form
    38,423/53,023.74 = 21,656/x
  3. Step 3: Cross multiply
    38,423x = 53,023.74 × 21,656
  4. Step 4: Simplify right side
    38,423x = 1,148,282,113.44
  5. Step 5: Solve for x
    x = 1,148,282,113.44/38,423
  6. Step 6: Final answer
    x = 29,885.28

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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.