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Finding the Fourth Proportional to 9,730.50, 13,427.53 and 5,751.98

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Solution

The fourth proportional to 9,730.50, 13,427.53 and 5,751.98 is: 7,937.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.50 : 13,427.53 = 5,751.98 : x
  2. Step 2: Convert to fraction form
    9,730.50/13,427.53 = 5,751.98/x
  3. Step 3: Cross multiply
    9,730.50x = 13,427.53 × 5,751.98
  4. Step 4: Simplify right side
    9,730.50x = 77,234,852.85
  5. Step 5: Solve for x
    x = 77,234,852.85/9,730.50
  6. Step 6: Final answer
    x = 7,937.40

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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.