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Finding the Fourth Proportional to 30,989.52, 46,491.54 and 10,213

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Solution

The fourth proportional to 30,989.52, 46,491.54 and 10,213 is: 15,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.52 : 46,491.54 = 10,213 : x
  2. Step 2: Convert to fraction form
    30,989.52/46,491.54 = 10,213/x
  3. Step 3: Cross multiply
    30,989.52x = 46,491.54 × 10,213
  4. Step 4: Simplify right side
    30,989.52x = 474,818,098.02
  5. Step 5: Solve for x
    x = 474,818,098.02/30,989.52
  6. Step 6: Final answer
    x = 15,321.89

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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.