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Finding the Fourth Proportional to 13,689.54, 20,518.74 and 7,007.31

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Solution

The fourth proportional to 13,689.54, 20,518.74 and 7,007.31 is: 10,503.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.54 : 20,518.74 = 7,007.31 : x
  2. Step 2: Convert to fraction form
    13,689.54/20,518.74 = 7,007.31/x
  3. Step 3: Cross multiply
    13,689.54x = 20,518.74 × 7,007.31
  4. Step 4: Simplify right side
    13,689.54x = 143,781,171.99
  5. Step 5: Solve for x
    x = 143,781,171.99/13,689.54
  6. Step 6: Final answer
    x = 10,503.00

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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.