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Finding the Fourth Proportional to 9,314.86, 13,972.47 and 7,457.35

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Solution

The fourth proportional to 9,314.86, 13,972.47 and 7,457.35 is: 11,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.86 : 13,972.47 = 7,457.35 : x
  2. Step 2: Convert to fraction form
    9,314.86/13,972.47 = 7,457.35/x
  3. Step 3: Cross multiply
    9,314.86x = 13,972.47 × 7,457.35
  4. Step 4: Simplify right side
    9,314.86x = 104,197,599.15
  5. Step 5: Solve for x
    x = 104,197,599.15/9,314.86
  6. Step 6: Final answer
    x = 11,186.17

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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.