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Finding the Fourth Proportional to 9,603.96, 14,393.44 and 4,920

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Solution

The fourth proportional to 9,603.96, 14,393.44 and 4,920 is: 7,373.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.96 : 14,393.44 = 4,920 : x
  2. Step 2: Convert to fraction form
    9,603.96/14,393.44 = 4,920/x
  3. Step 3: Cross multiply
    9,603.96x = 14,393.44 × 4,920
  4. Step 4: Simplify right side
    9,603.96x = 70,815,724.80
  5. Step 5: Solve for x
    x = 70,815,724.80/9,603.96
  6. Step 6: Final answer
    x = 7,373.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.