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Finding the Fourth Proportional to 16,497.60, 24,746.40 and 9,920.40

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Solution

The fourth proportional to 16,497.60, 24,746.40 and 9,920.40 is: 14,880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.60 : 24,746.40 = 9,920.40 : x
  2. Step 2: Convert to fraction form
    16,497.60/24,746.40 = 9,920.40/x
  3. Step 3: Cross multiply
    16,497.60x = 24,746.40 × 9,920.40
  4. Step 4: Simplify right side
    16,497.60x = 245,494,186.56
  5. Step 5: Solve for x
    x = 245,494,186.56/16,497.60
  6. Step 6: Final answer
    x = 14,880.60

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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.