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Finding the Fourth Proportional to 10,980.23, 16,479.52 and 9,946.87

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Solution

The fourth proportional to 10,980.23, 16,479.52 and 9,946.87 is: 14,928.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.23 : 16,479.52 = 9,946.87 : x
  2. Step 2: Convert to fraction form
    10,980.23/16,479.52 = 9,946.87/x
  3. Step 3: Cross multiply
    10,980.23x = 16,479.52 × 9,946.87
  4. Step 4: Simplify right side
    10,980.23x = 163,919,577.04
  5. Step 5: Solve for x
    x = 163,919,577.04/10,980.23
  6. Step 6: Final answer
    x = 14,928.62

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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.