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Finding the Fourth Proportional to 6,560.07, 9,838.65 and 1,880.07

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Solution

The fourth proportional to 6,560.07, 9,838.65 and 1,880.07 is: 2,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.07 : 9,838.65 = 1,880.07 : x
  2. Step 2: Convert to fraction form
    6,560.07/9,838.65 = 1,880.07/x
  3. Step 3: Cross multiply
    6,560.07x = 9,838.65 × 1,880.07
  4. Step 4: Simplify right side
    6,560.07x = 18,497,350.71
  5. Step 5: Solve for x
    x = 18,497,350.71/6,560.07
  6. Step 6: Final answer
    x = 2,819.69

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1.5x scale

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.