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Finding the Fourth Proportional to 10,457.64, 14,431.36 and 5,981.80

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Solution

The fourth proportional to 10,457.64, 14,431.36 and 5,981.80 is: 8,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.64 : 14,431.36 = 5,981.80 : x
  2. Step 2: Convert to fraction form
    10,457.64/14,431.36 = 5,981.80/x
  3. Step 3: Cross multiply
    10,457.64x = 14,431.36 × 5,981.80
  4. Step 4: Simplify right side
    10,457.64x = 86,325,509.25
  5. Step 5: Solve for x
    x = 86,325,509.25/10,457.64
  6. Step 6: Final answer
    x = 8,254.78

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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.