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Finding the Fourth Proportional to 9,913.46, 13,677.05 and 5,661.47

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Solution

The fourth proportional to 9,913.46, 13,677.05 and 5,661.47 is: 7,810.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.46 : 13,677.05 = 5,661.47 : x
  2. Step 2: Convert to fraction form
    9,913.46/13,677.05 = 5,661.47/x
  3. Step 3: Cross multiply
    9,913.46x = 13,677.05 × 5,661.47
  4. Step 4: Simplify right side
    9,913.46x = 77,432,111.57
  5. Step 5: Solve for x
    x = 77,432,111.57/9,913.46
  6. Step 6: Final answer
    x = 7,810.81

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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.