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Finding the Fourth Proportional to 14,209.65, 19,621.71 and 8,913.60

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Solution

The fourth proportional to 14,209.65, 19,621.71 and 8,913.60 is: 12,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209.65 : 19,621.71 = 8,913.60 : x
  2. Step 2: Convert to fraction form
    14,209.65/19,621.71 = 8,913.60/x
  3. Step 3: Cross multiply
    14,209.65x = 19,621.71 × 8,913.60
  4. Step 4: Simplify right side
    14,209.65x = 174,900,074.26
  5. Step 5: Solve for x
    x = 174,900,074.26/14,209.65
  6. Step 6: Final answer
    x = 12,308.54

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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.