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Finding the Fourth Proportional to 13,762.36, 18,973.98 and 9,930.78

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Solution

The fourth proportional to 13,762.36, 18,973.98 and 9,930.78 is: 13,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.36 : 18,973.98 = 9,930.78 : x
  2. Step 2: Convert to fraction form
    13,762.36/18,973.98 = 9,930.78/x
  3. Step 3: Cross multiply
    13,762.36x = 18,973.98 × 9,930.78
  4. Step 4: Simplify right side
    13,762.36x = 188,426,421.10
  5. Step 5: Solve for x
    x = 188,426,421.10/13,762.36
  6. Step 6: Final answer
    x = 13,691.43

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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.