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Finding the Fourth Proportional to 10,602.16, 14,635.80 and 6,827.12

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Solution

The fourth proportional to 10,602.16, 14,635.80 and 6,827.12 is: 9,424.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.16 : 14,635.80 = 6,827.12 : x
  2. Step 2: Convert to fraction form
    10,602.16/14,635.80 = 6,827.12/x
  3. Step 3: Cross multiply
    10,602.16x = 14,635.80 × 6,827.12
  4. Step 4: Simplify right side
    10,602.16x = 99,920,362.90
  5. Step 5: Solve for x
    x = 99,920,362.90/10,602.16
  6. Step 6: Final answer
    x = 9,424.53

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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.