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Finding the Fourth Proportional to 7,130.71, 10,696.78 and 2,450.10

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Solution

The fourth proportional to 7,130.71, 10,696.78 and 2,450.10 is: 3,675.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.71 : 10,696.78 = 2,450.10 : x
  2. Step 2: Convert to fraction form
    7,130.71/10,696.78 = 2,450.10/x
  3. Step 3: Cross multiply
    7,130.71x = 10,696.78 × 2,450.10
  4. Step 4: Simplify right side
    7,130.71x = 26,208,223.85
  5. Step 5: Solve for x
    x = 26,208,223.85/7,130.71
  6. Step 6: Final answer
    x = 3,675.40

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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.