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Finding the Fourth Proportional to 30,916.66, 46,378.40 and 9,851.80

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Solution

The fourth proportional to 30,916.66, 46,378.40 and 9,851.80 is: 14,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,916.66 : 46,378.40 = 9,851.80 : x
  2. Step 2: Convert to fraction form
    30,916.66/46,378.40 = 9,851.80/x
  3. Step 3: Cross multiply
    30,916.66x = 46,378.40 × 9,851.80
  4. Step 4: Simplify right side
    30,916.66x = 456,910,721.12
  5. Step 5: Solve for x
    x = 456,910,721.12/30,916.66
  6. Step 6: Final answer
    x = 14,778.79

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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.