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Finding the Fourth Proportional to 7,643.90, 10,553.74 and 4,777.01

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Solution

The fourth proportional to 7,643.90, 10,553.74 and 4,777.01 is: 6,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.90 : 10,553.74 = 4,777.01 : x
  2. Step 2: Convert to fraction form
    7,643.90/10,553.74 = 4,777.01/x
  3. Step 3: Cross multiply
    7,643.90x = 10,553.74 × 4,777.01
  4. Step 4: Simplify right side
    7,643.90x = 50,415,321.52
  5. Step 5: Solve for x
    x = 50,415,321.52/7,643.90
  6. Step 6: Final answer
    x = 6,595.50

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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.