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Finding the Fourth Proportional to 11,307.68, 15,604.98 and 6,830.54

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Solution

The fourth proportional to 11,307.68, 15,604.98 and 6,830.54 is: 9,426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.68 : 15,604.98 = 6,830.54 : x
  2. Step 2: Convert to fraction form
    11,307.68/15,604.98 = 6,830.54/x
  3. Step 3: Cross multiply
    11,307.68x = 15,604.98 × 6,830.54
  4. Step 4: Simplify right side
    11,307.68x = 106,590,362.06
  5. Step 5: Solve for x
    x = 106,590,362.06/11,307.68
  6. Step 6: Final answer
    x = 9,426.37

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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.