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Finding the Fourth Proportional to 9,762.31, 13,470.46 and 5,782.78

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Solution

The fourth proportional to 9,762.31, 13,470.46 and 5,782.78 is: 7,979.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.31 : 13,470.46 = 5,782.78 : x
  2. Step 2: Convert to fraction form
    9,762.31/13,470.46 = 5,782.78/x
  3. Step 3: Cross multiply
    9,762.31x = 13,470.46 × 5,782.78
  4. Step 4: Simplify right side
    9,762.31x = 77,896,706.68
  5. Step 5: Solve for x
    x = 77,896,706.68/9,762.31
  6. Step 6: Final answer
    x = 7,979.33

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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.