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Finding the Fourth Proportional to 7,853.60, 11,696.56 and 7,762.88

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Solution

The fourth proportional to 7,853.60, 11,696.56 and 7,762.88 is: 11,561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.60 : 11,696.56 = 7,762.88 : x
  2. Step 2: Convert to fraction form
    7,853.60/11,696.56 = 7,762.88/x
  3. Step 3: Cross multiply
    7,853.60x = 11,696.56 × 7,762.88
  4. Step 4: Simplify right side
    7,853.60x = 90,798,991.69
  5. Step 5: Solve for x
    x = 90,798,991.69/7,853.60
  6. Step 6: Final answer
    x = 11,561.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.