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Finding the Fourth Proportional to 43,698, 65,547.24 and 10,866

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Solution

The fourth proportional to 43,698, 65,547.24 and 10,866 is: 16,299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,698 : 65,547.24 = 10,866 : x
  2. Step 2: Convert to fraction form
    43,698/65,547.24 = 10,866/x
  3. Step 3: Cross multiply
    43,698x = 65,547.24 × 10,866
  4. Step 4: Simplify right side
    43,698x = 712,236,309.84
  5. Step 5: Solve for x
    x = 712,236,309.84/43,698
  6. Step 6: Final answer
    x = 16,299.06

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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.