Home / 11,539.60-15,924-6,824.32

Finding the Fourth Proportional to 11,539.60, 15,924 and 6,824.32

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Solution

The fourth proportional to 11,539.60, 15,924 and 6,824.32 is: 9,417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.60 : 15,924 = 6,824.32 : x
  2. Step 2: Convert to fraction form
    11,539.60/15,924 = 6,824.32/x
  3. Step 3: Cross multiply
    11,539.60x = 15,924 × 6,824.32
  4. Step 4: Simplify right side
    11,539.60x = 108,670,471.68
  5. Step 5: Solve for x
    x = 108,670,471.68/11,539.60
  6. Step 6: Final answer
    x = 9,417.18

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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.