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Finding the Fourth Proportional to 30,710.88, 46,076.04 and 10,989

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Solution

The fourth proportional to 30,710.88, 46,076.04 and 10,989 is: 16,486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710.88 : 46,076.04 = 10,989 : x
  2. Step 2: Convert to fraction form
    30,710.88/46,076.04 = 10,989/x
  3. Step 3: Cross multiply
    30,710.88x = 46,076.04 × 10,989
  4. Step 4: Simplify right side
    30,710.88x = 506,329,603.56
  5. Step 5: Solve for x
    x = 506,329,603.56/30,710.88
  6. Step 6: Final answer
    x = 16,486.98

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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.