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Finding the Fourth Proportional to 7,662.90, 10,574.64 and 4,520.10

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Solution

The fourth proportional to 7,662.90, 10,574.64 and 4,520.10 is: 6,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.90 : 10,574.64 = 4,520.10 : x
  2. Step 2: Convert to fraction form
    7,662.90/10,574.64 = 4,520.10/x
  3. Step 3: Cross multiply
    7,662.90x = 10,574.64 × 4,520.10
  4. Step 4: Simplify right side
    7,662.90x = 47,798,430.26
  5. Step 5: Solve for x
    x = 47,798,430.26/7,662.90
  6. Step 6: Final answer
    x = 6,237.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.