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Finding the Fourth Proportional to 9,777.60, 13,477.36 and 7,649.52

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Solution

The fourth proportional to 9,777.60, 13,477.36 and 7,649.52 is: 10,544.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.60 : 13,477.36 = 7,649.52 : x
  2. Step 2: Convert to fraction form
    9,777.60/13,477.36 = 7,649.52/x
  3. Step 3: Cross multiply
    9,777.60x = 13,477.36 × 7,649.52
  4. Step 4: Simplify right side
    9,777.60x = 103,095,334.87
  5. Step 5: Solve for x
    x = 103,095,334.87/9,777.60
  6. Step 6: Final answer
    x = 10,544.03

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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.