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Finding the Fourth Proportional to 30,877, 46,315.50 and 7,503.51

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Solution

The fourth proportional to 30,877, 46,315.50 and 7,503.51 is: 11,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,877 : 46,315.50 = 7,503.51 : x
  2. Step 2: Convert to fraction form
    30,877/46,315.50 = 7,503.51/x
  3. Step 3: Cross multiply
    30,877x = 46,315.50 × 7,503.51
  4. Step 4: Simplify right side
    30,877x = 347,528,817.41
  5. Step 5: Solve for x
    x = 347,528,817.41/30,877
  6. Step 6: Final answer
    x = 11,255.27

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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.