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Finding the Fourth Proportional to 6,880, 10,303.44 and 4,407.16

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Solution

The fourth proportional to 6,880, 10,303.44 and 4,407.16 is: 6,600.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880 : 10,303.44 = 4,407.16 : x
  2. Step 2: Convert to fraction form
    6,880/10,303.44 = 4,407.16/x
  3. Step 3: Cross multiply
    6,880x = 10,303.44 × 4,407.16
  4. Step 4: Simplify right side
    6,880x = 45,408,908.63
  5. Step 5: Solve for x
    x = 45,408,908.63/6,880
  6. Step 6: Final answer
    x = 6,600.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.