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Finding the Fourth Proportional to 30,036, 45,023.76 and 12,515.52

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Solution

The fourth proportional to 30,036, 45,023.76 and 12,515.52 is: 18,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,036 : 45,023.76 = 12,515.52 : x
  2. Step 2: Convert to fraction form
    30,036/45,023.76 = 12,515.52/x
  3. Step 3: Cross multiply
    30,036x = 45,023.76 × 12,515.52
  4. Step 4: Simplify right side
    30,036x = 563,495,768.76
  5. Step 5: Solve for x
    x = 563,495,768.76/30,036
  6. Step 6: Final answer
    x = 18,760.68

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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.