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Finding the Fourth Proportional to 6,497.28, 9,746.56 and 1,880

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Solution

The fourth proportional to 6,497.28, 9,746.56 and 1,880 is: 2,820.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.28 : 9,746.56 = 1,880 : x
  2. Step 2: Convert to fraction form
    6,497.28/9,746.56 = 1,880/x
  3. Step 3: Cross multiply
    6,497.28x = 9,746.56 × 1,880
  4. Step 4: Simplify right side
    6,497.28x = 18,323,532.80
  5. Step 5: Solve for x
    x = 18,323,532.80/6,497.28
  6. Step 6: Final answer
    x = 2,820.19

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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.