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Finding the Fourth Proportional to 9,228.64, 12,741.65 and 7,100.41

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Solution

The fourth proportional to 9,228.64, 12,741.65 and 7,100.41 is: 9,803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.64 : 12,741.65 = 7,100.41 : x
  2. Step 2: Convert to fraction form
    9,228.64/12,741.65 = 7,100.41/x
  3. Step 3: Cross multiply
    9,228.64x = 12,741.65 × 7,100.41
  4. Step 4: Simplify right side
    9,228.64x = 90,470,939.08
  5. Step 5: Solve for x
    x = 90,470,939.08/9,228.64
  6. Step 6: Final answer
    x = 9,803.28

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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.