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Finding the Fourth Proportional to 30,004.64, 45,002.76 and 8,947.88

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Solution

The fourth proportional to 30,004.64, 45,002.76 and 8,947.88 is: 13,420.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,004.64 : 45,002.76 = 8,947.88 : x
  2. Step 2: Convert to fraction form
    30,004.64/45,002.76 = 8,947.88/x
  3. Step 3: Cross multiply
    30,004.64x = 45,002.76 × 8,947.88
  4. Step 4: Simplify right side
    30,004.64x = 402,679,296.15
  5. Step 5: Solve for x
    x = 402,679,296.15/30,004.64
  6. Step 6: Final answer
    x = 13,420.57

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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.