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Finding the Fourth Proportional to 7,114.41, 9,815.13 and 4,129.65

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Solution

The fourth proportional to 7,114.41, 9,815.13 and 4,129.65 is: 5,697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.41 : 9,815.13 = 4,129.65 : x
  2. Step 2: Convert to fraction form
    7,114.41/9,815.13 = 4,129.65/x
  3. Step 3: Cross multiply
    7,114.41x = 9,815.13 × 4,129.65
  4. Step 4: Simplify right side
    7,114.41x = 40,533,051.60
  5. Step 5: Solve for x
    x = 40,533,051.60/7,114.41
  6. Step 6: Final answer
    x = 5,697.32

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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.