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Finding the Fourth Proportional to 7,643.56, 10,553.60 and 5,281.60

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Solution

The fourth proportional to 7,643.56, 10,553.60 and 5,281.60 is: 7,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.56 : 10,553.60 = 5,281.60 : x
  2. Step 2: Convert to fraction form
    7,643.56/10,553.60 = 5,281.60/x
  3. Step 3: Cross multiply
    7,643.56x = 10,553.60 × 5,281.60
  4. Step 4: Simplify right side
    7,643.56x = 55,739,893.76
  5. Step 5: Solve for x
    x = 55,739,893.76/7,643.56
  6. Step 6: Final answer
    x = 7,292.40

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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.