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Finding the Fourth Proportional to 6,470, 8,928.60 and 3,526

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Solution

The fourth proportional to 6,470, 8,928.60 and 3,526 is: 4,865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470 : 8,928.60 = 3,526 : x
  2. Step 2: Convert to fraction form
    6,470/8,928.60 = 3,526/x
  3. Step 3: Cross multiply
    6,470x = 8,928.60 × 3,526
  4. Step 4: Simplify right side
    6,470x = 31,482,243.60
  5. Step 5: Solve for x
    x = 31,482,243.60/6,470
  6. Step 6: Final answer
    x = 4,865.88

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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.