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Finding the Fourth Proportional to 9,312.86, 13,978.06 and 3,395.46

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Solution

The fourth proportional to 9,312.86, 13,978.06 and 3,395.46 is: 5,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.86 : 13,978.06 = 3,395.46 : x
  2. Step 2: Convert to fraction form
    9,312.86/13,978.06 = 3,395.46/x
  3. Step 3: Cross multiply
    9,312.86x = 13,978.06 × 3,395.46
  4. Step 4: Simplify right side
    9,312.86x = 47,461,935.12
  5. Step 5: Solve for x
    x = 47,461,935.12/9,312.86
  6. Step 6: Final answer
    x = 5,096.39

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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.