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Finding the Fourth Proportional to 10,408.91, 14,368.57 and 7,056.32

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Solution

The fourth proportional to 10,408.91, 14,368.57 and 7,056.32 is: 9,740.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.91 : 14,368.57 = 7,056.32 : x
  2. Step 2: Convert to fraction form
    10,408.91/14,368.57 = 7,056.32/x
  3. Step 3: Cross multiply
    10,408.91x = 14,368.57 × 7,056.32
  4. Step 4: Simplify right side
    10,408.91x = 101,389,227.86
  5. Step 5: Solve for x
    x = 101,389,227.86/10,408.91
  6. Step 6: Final answer
    x = 9,740.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.