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Finding the Fourth Proportional to 11,005.84, 15,188 and 5,970.16

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Solution

The fourth proportional to 11,005.84, 15,188 and 5,970.16 is: 8,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.84 : 15,188 = 5,970.16 : x
  2. Step 2: Convert to fraction form
    11,005.84/15,188 = 5,970.16/x
  3. Step 3: Cross multiply
    11,005.84x = 15,188 × 5,970.16
  4. Step 4: Simplify right side
    11,005.84x = 90,674,790.08
  5. Step 5: Solve for x
    x = 90,674,790.08/11,005.84
  6. Step 6: Final answer
    x = 8,238.79

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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.