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Finding the Fourth Proportional to 30,995, 46,512.98 and 14,580.28

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Solution

The fourth proportional to 30,995, 46,512.98 and 14,580.28 is: 21,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,995 : 46,512.98 = 14,580.28 : x
  2. Step 2: Convert to fraction form
    30,995/46,512.98 = 14,580.28/x
  3. Step 3: Cross multiply
    30,995x = 46,512.98 × 14,580.28
  4. Step 4: Simplify right side
    30,995x = 678,172,272.03
  5. Step 5: Solve for x
    x = 678,172,272.03/30,995
  6. Step 6: Final answer
    x = 21,880.05

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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.