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Finding the Fourth Proportional to 42,840.75, 64,261.13 and 11,676

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Solution

The fourth proportional to 42,840.75, 64,261.13 and 11,676 is: 17,514

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,840.75 : 64,261.13 = 11,676 : x
  2. Step 2: Convert to fraction form
    42,840.75/64,261.13 = 11,676/x
  3. Step 3: Cross multiply
    42,840.75x = 64,261.13 × 11,676
  4. Step 4: Simplify right side
    42,840.75x = 750,312,895.50
  5. Step 5: Solve for x
    x = 750,312,895.50/42,840.75
  6. Step 6: Final answer
    x = 17,514

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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.