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Finding the Fourth Proportional to 30,762.31, 42,452 and 16,615.17

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Solution

The fourth proportional to 30,762.31, 42,452 and 16,615.17 is: 22,928.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.31 : 42,452 = 16,615.17 : x
  2. Step 2: Convert to fraction form
    30,762.31/42,452 = 16,615.17/x
  3. Step 3: Cross multiply
    30,762.31x = 42,452 × 16,615.17
  4. Step 4: Simplify right side
    30,762.31x = 705,347,196.84
  5. Step 5: Solve for x
    x = 705,347,196.84/30,762.31
  6. Step 6: Final answer
    x = 22,928.94

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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.