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Finding the Fourth Proportional to 10,038.48, 13,855.42 and 6,681.44

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Solution

The fourth proportional to 10,038.48, 13,855.42 and 6,681.44 is: 9,221.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.48 : 13,855.42 = 6,681.44 : x
  2. Step 2: Convert to fraction form
    10,038.48/13,855.42 = 6,681.44/x
  3. Step 3: Cross multiply
    10,038.48x = 13,855.42 × 6,681.44
  4. Step 4: Simplify right side
    10,038.48x = 92,574,157.40
  5. Step 5: Solve for x
    x = 92,574,157.40/10,038.48
  6. Step 6: Final answer
    x = 9,221.93

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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.