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Finding the Fourth Proportional to 30,420.76, 45,520.12 and 17,946.76

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Solution

The fourth proportional to 30,420.76, 45,520.12 and 17,946.76 is: 26,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,420.76 : 45,520.12 = 17,946.76 : x
  2. Step 2: Convert to fraction form
    30,420.76/45,520.12 = 17,946.76/x
  3. Step 3: Cross multiply
    30,420.76x = 45,520.12 × 17,946.76
  4. Step 4: Simplify right side
    30,420.76x = 816,938,396.34
  5. Step 5: Solve for x
    x = 816,938,396.34/30,420.76
  6. Step 6: Final answer
    x = 26,854.64

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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.