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Finding the Fourth Proportional to 30,980.84, 46,471.50 and 7,607.48

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Solution

The fourth proportional to 30,980.84, 46,471.50 and 7,607.48 is: 11,411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.84 : 46,471.50 = 7,607.48 : x
  2. Step 2: Convert to fraction form
    30,980.84/46,471.50 = 7,607.48/x
  3. Step 3: Cross multiply
    30,980.84x = 46,471.50 × 7,607.48
  4. Step 4: Simplify right side
    30,980.84x = 353,531,006.82
  5. Step 5: Solve for x
    x = 353,531,006.82/30,980.84
  6. Step 6: Final answer
    x = 11,411.28

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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.