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Finding the Fourth Proportional to 7,567.50, 10,442.81 and 4,210.05

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Solution

The fourth proportional to 7,567.50, 10,442.81 and 4,210.05 is: 5,809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.50 : 10,442.81 = 4,210.05 : x
  2. Step 2: Convert to fraction form
    7,567.50/10,442.81 = 4,210.05/x
  3. Step 3: Cross multiply
    7,567.50x = 10,442.81 × 4,210.05
  4. Step 4: Simplify right side
    7,567.50x = 43,964,752.24
  5. Step 5: Solve for x
    x = 43,964,752.24/7,567.50
  6. Step 6: Final answer
    x = 5,809.68

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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.