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Finding the Fourth Proportional to 7,809.70, 11,718.96 and 3,130.06

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Solution

The fourth proportional to 7,809.70, 11,718.96 and 3,130.06 is: 4,696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.70 : 11,718.96 = 3,130.06 : x
  2. Step 2: Convert to fraction form
    7,809.70/11,718.96 = 3,130.06/x
  3. Step 3: Cross multiply
    7,809.70x = 11,718.96 × 3,130.06
  4. Step 4: Simplify right side
    7,809.70x = 36,681,047.94
  5. Step 5: Solve for x
    x = 36,681,047.94/7,809.70
  6. Step 6: Final answer
    x = 4,696.86

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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.