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Finding the Fourth Proportional to 7,136.41, 9,848.98 and 4,111.63

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Solution

The fourth proportional to 7,136.41, 9,848.98 and 4,111.63 is: 5,674.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.41 : 9,848.98 = 4,111.63 : x
  2. Step 2: Convert to fraction form
    7,136.41/9,848.98 = 4,111.63/x
  3. Step 3: Cross multiply
    7,136.41x = 9,848.98 × 4,111.63
  4. Step 4: Simplify right side
    7,136.41x = 40,495,361.64
  5. Step 5: Solve for x
    x = 40,495,361.64/7,136.41
  6. Step 6: Final answer
    x = 5,674.47

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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.