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Finding the Fourth Proportional to 13,698.79, 18,904.49 and 7,730.53

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Solution

The fourth proportional to 13,698.79, 18,904.49 and 7,730.53 is: 10,668.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.79 : 18,904.49 = 7,730.53 : x
  2. Step 2: Convert to fraction form
    13,698.79/18,904.49 = 7,730.53/x
  3. Step 3: Cross multiply
    13,698.79x = 18,904.49 × 7,730.53
  4. Step 4: Simplify right side
    13,698.79x = 146,141,727.08
  5. Step 5: Solve for x
    x = 146,141,727.08/13,698.79
  6. Step 6: Final answer
    x = 10,668.22

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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.