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Finding the Fourth Proportional to 14,358, 21,536.73 and 7,825.76

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Solution

The fourth proportional to 14,358, 21,536.73 and 7,825.76 is: 11,738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358 : 21,536.73 = 7,825.76 : x
  2. Step 2: Convert to fraction form
    14,358/21,536.73 = 7,825.76/x
  3. Step 3: Cross multiply
    14,358x = 21,536.73 × 7,825.76
  4. Step 4: Simplify right side
    14,358x = 168,541,280.16
  5. Step 5: Solve for x
    x = 168,541,280.16/14,358
  6. Step 6: Final answer
    x = 11,738.49

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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.