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Finding the Fourth Proportional to 13,396.86, 18,488.97 and 7,807.50

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Solution

The fourth proportional to 13,396.86, 18,488.97 and 7,807.50 is: 10,775.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,396.86 : 18,488.97 = 7,807.50 : x
  2. Step 2: Convert to fraction form
    13,396.86/18,488.97 = 7,807.50/x
  3. Step 3: Cross multiply
    13,396.86x = 18,488.97 × 7,807.50
  4. Step 4: Simplify right side
    13,396.86x = 144,352,633.28
  5. Step 5: Solve for x
    x = 144,352,633.28/13,396.86
  6. Step 6: Final answer
    x = 10,775.11

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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.