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Finding the Fourth Proportional to 30,032.34, 45,047.95 and 8,972.45

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Solution

The fourth proportional to 30,032.34, 45,047.95 and 8,972.45 is: 13,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,032.34 : 45,047.95 = 8,972.45 : x
  2. Step 2: Convert to fraction form
    30,032.34/45,047.95 = 8,972.45/x
  3. Step 3: Cross multiply
    30,032.34x = 45,047.95 × 8,972.45
  4. Step 4: Simplify right side
    30,032.34x = 404,190,273.54
  5. Step 5: Solve for x
    x = 404,190,273.54/30,032.34
  6. Step 6: Final answer
    x = 13,458.50

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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.