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Finding the Fourth Proportional to 9,762.13, 13,470.88 and 5,782.57

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Solution

The fourth proportional to 9,762.13, 13,470.88 and 5,782.57 is: 7,979.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.13 : 13,470.88 = 5,782.57 : x
  2. Step 2: Convert to fraction form
    9,762.13/13,470.88 = 5,782.57/x
  3. Step 3: Cross multiply
    9,762.13x = 13,470.88 × 5,782.57
  4. Step 4: Simplify right side
    9,762.13x = 77,896,306.56
  5. Step 5: Solve for x
    x = 77,896,306.56/9,762.13
  6. Step 6: Final answer
    x = 7,979.44

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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.