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Finding the Fourth Proportional to 11,970.29, 16,518.71 and 6,664.99

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Solution

The fourth proportional to 11,970.29, 16,518.71 and 6,664.99 is: 9,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.29 : 16,518.71 = 6,664.99 : x
  2. Step 2: Convert to fraction form
    11,970.29/16,518.71 = 6,664.99/x
  3. Step 3: Cross multiply
    11,970.29x = 16,518.71 × 6,664.99
  4. Step 4: Simplify right side
    11,970.29x = 110,097,036.96
  5. Step 5: Solve for x
    x = 110,097,036.96/11,970.29
  6. Step 6: Final answer
    x = 9,197.52

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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.