Home / 9,434-13,020.36-5,710.16

Finding the Fourth Proportional to 9,434, 13,020.36 and 5,710.16

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Solution

The fourth proportional to 9,434, 13,020.36 and 5,710.16 is: 7,880.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434 : 13,020.36 = 5,710.16 : x
  2. Step 2: Convert to fraction form
    9,434/13,020.36 = 5,710.16/x
  3. Step 3: Cross multiply
    9,434x = 13,020.36 × 5,710.16
  4. Step 4: Simplify right side
    9,434x = 74,348,338.86
  5. Step 5: Solve for x
    x = 74,348,338.86/9,434
  6. Step 6: Final answer
    x = 7,880.89

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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.