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Finding the Fourth Proportional to 30,775.16, 42,472.04 and 17,347.67

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Solution

The fourth proportional to 30,775.16, 42,472.04 and 17,347.67 is: 23,941.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.16 : 42,472.04 = 17,347.67 : x
  2. Step 2: Convert to fraction form
    30,775.16/42,472.04 = 17,347.67/x
  3. Step 3: Cross multiply
    30,775.16x = 42,472.04 × 17,347.67
  4. Step 4: Simplify right side
    30,775.16x = 736,790,635.05
  5. Step 5: Solve for x
    x = 736,790,635.05/30,775.16
  6. Step 6: Final answer
    x = 23,941.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.