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Finding the Fourth Proportional to 7,130.53, 9,840.13 and 3,986.72

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Solution

The fourth proportional to 7,130.53, 9,840.13 and 3,986.72 is: 5,501.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.53 : 9,840.13 = 3,986.72 : x
  2. Step 2: Convert to fraction form
    7,130.53/9,840.13 = 3,986.72/x
  3. Step 3: Cross multiply
    7,130.53x = 9,840.13 × 3,986.72
  4. Step 4: Simplify right side
    7,130.53x = 39,229,843.23
  5. Step 5: Solve for x
    x = 39,229,843.23/7,130.53
  6. Step 6: Final answer
    x = 5,501.67

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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.