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Finding the Fourth Proportional to 9,955.32, 14,932.80 and 8,405.28

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Solution

The fourth proportional to 9,955.32, 14,932.80 and 8,405.28 is: 12,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,955.32 : 14,932.80 = 8,405.28 : x
  2. Step 2: Convert to fraction form
    9,955.32/14,932.80 = 8,405.28/x
  3. Step 3: Cross multiply
    9,955.32x = 14,932.80 × 8,405.28
  4. Step 4: Simplify right side
    9,955.32x = 125,514,365.18
  5. Step 5: Solve for x
    x = 125,514,365.18/9,955.32
  6. Step 6: Final answer
    x = 12,607.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.