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Finding the Fourth Proportional to 9,378.56, 14,055.42 and 4,986.56

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Solution

The fourth proportional to 9,378.56, 14,055.42 and 4,986.56 is: 7,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.56 : 14,055.42 = 4,986.56 : x
  2. Step 2: Convert to fraction form
    9,378.56/14,055.42 = 4,986.56/x
  3. Step 3: Cross multiply
    9,378.56x = 14,055.42 × 4,986.56
  4. Step 4: Simplify right side
    9,378.56x = 70,088,195.16
  5. Step 5: Solve for x
    x = 70,088,195.16/9,378.56
  6. Step 6: Final answer
    x = 7,473.24

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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.