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Finding the Fourth Proportional to 10,465.69, 15,701.78 and 4,918.81

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Solution

The fourth proportional to 10,465.69, 15,701.78 and 4,918.81 is: 7,379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.69 : 15,701.78 = 4,918.81 : x
  2. Step 2: Convert to fraction form
    10,465.69/15,701.78 = 4,918.81/x
  3. Step 3: Cross multiply
    10,465.69x = 15,701.78 × 4,918.81
  4. Step 4: Simplify right side
    10,465.69x = 77,234,072.48
  5. Step 5: Solve for x
    x = 77,234,072.48/10,465.69
  6. Step 6: Final answer
    x = 7,379.74

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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.