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Finding the Fourth Proportional to 11,970.52, 16,525.22 and 9,275.78

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Solution

The fourth proportional to 11,970.52, 16,525.22 and 9,275.78 is: 12,805.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.52 : 16,525.22 = 9,275.78 : x
  2. Step 2: Convert to fraction form
    11,970.52/16,525.22 = 9,275.78/x
  3. Step 3: Cross multiply
    11,970.52x = 16,525.22 × 9,275.78
  4. Step 4: Simplify right side
    11,970.52x = 153,284,300.11
  5. Step 5: Solve for x
    x = 153,284,300.11/11,970.52
  6. Step 6: Final answer
    x = 12,805.15

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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.