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Finding the Fourth Proportional to 6,900.46, 9,526.38 and 5,208.46

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Solution

The fourth proportional to 6,900.46, 9,526.38 and 5,208.46 is: 7,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.46 : 9,526.38 = 5,208.46 : x
  2. Step 2: Convert to fraction form
    6,900.46/9,526.38 = 5,208.46/x
  3. Step 3: Cross multiply
    6,900.46x = 9,526.38 × 5,208.46
  4. Step 4: Simplify right side
    6,900.46x = 49,617,769.17
  5. Step 5: Solve for x
    x = 49,617,769.17/6,900.46
  6. Step 6: Final answer
    x = 7,190.50

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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.