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Finding the Fourth Proportional to 46,209, 69,313.50 and 13,377

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Solution

The fourth proportional to 46,209, 69,313.50 and 13,377 is: 20,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,209 : 69,313.50 = 13,377 : x
  2. Step 2: Convert to fraction form
    46,209/69,313.50 = 13,377/x
  3. Step 3: Cross multiply
    46,209x = 69,313.50 × 13,377
  4. Step 4: Simplify right side
    46,209x = 927,206,689.50
  5. Step 5: Solve for x
    x = 927,206,689.50/46,209
  6. Step 6: Final answer
    x = 20,065.50

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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.