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Finding the Fourth Proportional to 7,563.65, 10,438.74 and 4,578.93

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Solution

The fourth proportional to 7,563.65, 10,438.74 and 4,578.93 is: 6,319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.65 : 10,438.74 = 4,578.93 : x
  2. Step 2: Convert to fraction form
    7,563.65/10,438.74 = 4,578.93/x
  3. Step 3: Cross multiply
    7,563.65x = 10,438.74 × 4,578.93
  4. Step 4: Simplify right side
    7,563.65x = 47,798,259.75
  5. Step 5: Solve for x
    x = 47,798,259.75/7,563.65
  6. Step 6: Final answer
    x = 6,319.47

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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.