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Finding the Fourth Proportional to 7,564.48, 10,439 and 4,420.88

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Solution

The fourth proportional to 7,564.48, 10,439 and 4,420.88 is: 6,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.48 : 10,439 = 4,420.88 : x
  2. Step 2: Convert to fraction form
    7,564.48/10,439 = 4,420.88/x
  3. Step 3: Cross multiply
    7,564.48x = 10,439 × 4,420.88
  4. Step 4: Simplify right side
    7,564.48x = 46,149,566.32
  5. Step 5: Solve for x
    x = 46,149,566.32/7,564.48
  6. Step 6: Final answer
    x = 6,100.82

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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.