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Finding the Fourth Proportional to 30,603.78, 45,901.35 and 9,824.58

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Solution

The fourth proportional to 30,603.78, 45,901.35 and 9,824.58 is: 14,735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,603.78 : 45,901.35 = 9,824.58 : x
  2. Step 2: Convert to fraction form
    30,603.78/45,901.35 = 9,824.58/x
  3. Step 3: Cross multiply
    30,603.78x = 45,901.35 × 9,824.58
  4. Step 4: Simplify right side
    30,603.78x = 450,961,485.18
  5. Step 5: Solve for x
    x = 450,961,485.18/30,603.78
  6. Step 6: Final answer
    x = 14,735.48

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1.5x scale

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.