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Finding the Fourth Proportional to 9,140.40, 13,718.70 and 7,828.20

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Solution

The fourth proportional to 9,140.40, 13,718.70 and 7,828.20 is: 11,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.40 : 13,718.70 = 7,828.20 : x
  2. Step 2: Convert to fraction form
    9,140.40/13,718.70 = 7,828.20/x
  3. Step 3: Cross multiply
    9,140.40x = 13,718.70 × 7,828.20
  4. Step 4: Simplify right side
    9,140.40x = 107,392,727.34
  5. Step 5: Solve for x
    x = 107,392,727.34/9,140.40
  6. Step 6: Final answer
    x = 11,749.24

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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.