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Finding the Fourth Proportional to 9,907.93, 13,670.80 and 5,713.75

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Solution

The fourth proportional to 9,907.93, 13,670.80 and 5,713.75 is: 7,883.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.93 : 13,670.80 = 5,713.75 : x
  2. Step 2: Convert to fraction form
    9,907.93/13,670.80 = 5,713.75/x
  3. Step 3: Cross multiply
    9,907.93x = 13,670.80 × 5,713.75
  4. Step 4: Simplify right side
    9,907.93x = 78,111,533.50
  5. Step 5: Solve for x
    x = 78,111,533.50/9,907.93
  6. Step 6: Final answer
    x = 7,883.74

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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.