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Finding the Fourth Proportional to 7,830.99, 10,800.48 and 6,884.77

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Solution

The fourth proportional to 7,830.99, 10,800.48 and 6,884.77 is: 9,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.99 : 10,800.48 = 6,884.77 : x
  2. Step 2: Convert to fraction form
    7,830.99/10,800.48 = 6,884.77/x
  3. Step 3: Cross multiply
    7,830.99x = 10,800.48 × 6,884.77
  4. Step 4: Simplify right side
    7,830.99x = 74,358,786.27
  5. Step 5: Solve for x
    x = 74,358,786.27/7,830.99
  6. Step 6: Final answer
    x = 9,495.46

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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.