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Finding the Fourth Proportional to 9,907.50, 13,669.61 and 5,657.01

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Solution

The fourth proportional to 9,907.50, 13,669.61 and 5,657.01 is: 7,805.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.50 : 13,669.61 = 5,657.01 : x
  2. Step 2: Convert to fraction form
    9,907.50/13,669.61 = 5,657.01/x
  3. Step 3: Cross multiply
    9,907.50x = 13,669.61 × 5,657.01
  4. Step 4: Simplify right side
    9,907.50x = 77,329,188.08
  5. Step 5: Solve for x
    x = 77,329,188.08/9,907.50
  6. Step 6: Final answer
    x = 7,805.12

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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.