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Finding the Fourth Proportional to 14,465, 19,961.88 and 7,841

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Solution

The fourth proportional to 14,465, 19,961.88 and 7,841 is: 10,820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465 : 19,961.88 = 7,841 : x
  2. Step 2: Convert to fraction form
    14,465/19,961.88 = 7,841/x
  3. Step 3: Cross multiply
    14,465x = 19,961.88 × 7,841
  4. Step 4: Simplify right side
    14,465x = 156,521,101.08
  5. Step 5: Solve for x
    x = 156,521,101.08/14,465
  6. Step 6: Final answer
    x = 10,820.68

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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.