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Finding the Fourth Proportional to 11,762.16, 17,645.84 and 3,970.80

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Solution

The fourth proportional to 11,762.16, 17,645.84 and 3,970.80 is: 5,957.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.16 : 17,645.84 = 3,970.80 : x
  2. Step 2: Convert to fraction form
    11,762.16/17,645.84 = 3,970.80/x
  3. Step 3: Cross multiply
    11,762.16x = 17,645.84 × 3,970.80
  4. Step 4: Simplify right side
    11,762.16x = 70,068,101.47
  5. Step 5: Solve for x
    x = 70,068,101.47/11,762.16
  6. Step 6: Final answer
    x = 5,957.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.