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Finding the Fourth Proportional to 13,968, 19,271.52 and 9,254.88

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Solution

The fourth proportional to 13,968, 19,271.52 and 9,254.88 is: 12,768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,968 : 19,271.52 = 9,254.88 : x
  2. Step 2: Convert to fraction form
    13,968/19,271.52 = 9,254.88/x
  3. Step 3: Cross multiply
    13,968x = 19,271.52 × 9,254.88
  4. Step 4: Simplify right side
    13,968x = 178,355,605.02
  5. Step 5: Solve for x
    x = 178,355,605.02/13,968
  6. Step 6: Final answer
    x = 12,768.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.