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Finding the Fourth Proportional to 10,412.16, 14,368.32 and 5,696.64

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Solution

The fourth proportional to 10,412.16, 14,368.32 and 5,696.64 is: 7,861.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.16 : 14,368.32 = 5,696.64 : x
  2. Step 2: Convert to fraction form
    10,412.16/14,368.32 = 5,696.64/x
  3. Step 3: Cross multiply
    10,412.16x = 14,368.32 × 5,696.64
  4. Step 4: Simplify right side
    10,412.16x = 81,851,146.44
  5. Step 5: Solve for x
    x = 81,851,146.44/10,412.16
  6. Step 6: Final answer
    x = 7,861.11

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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.