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Finding the Fourth Proportional to 11,970.88, 16,526.40 and 8,005.12

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Solution

The fourth proportional to 11,970.88, 16,526.40 and 8,005.12 is: 11,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.88 : 16,526.40 = 8,005.12 : x
  2. Step 2: Convert to fraction form
    11,970.88/16,526.40 = 8,005.12/x
  3. Step 3: Cross multiply
    11,970.88x = 16,526.40 × 8,005.12
  4. Step 4: Simplify right side
    11,970.88x = 132,295,815.17
  5. Step 5: Solve for x
    x = 132,295,815.17/11,970.88
  6. Step 6: Final answer
    x = 11,051.47

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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.