Home / 6,914-9,541.32-4,430.16

Finding the Fourth Proportional to 6,914, 9,541.32 and 4,430.16

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Solution

The fourth proportional to 6,914, 9,541.32 and 4,430.16 is: 6,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914 : 9,541.32 = 4,430.16 : x
  2. Step 2: Convert to fraction form
    6,914/9,541.32 = 4,430.16/x
  3. Step 3: Cross multiply
    6,914x = 9,541.32 × 4,430.16
  4. Step 4: Simplify right side
    6,914x = 42,269,574.21
  5. Step 5: Solve for x
    x = 42,269,574.21/6,914
  6. Step 6: Final answer
    x = 6,113.62

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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.