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Finding the Fourth Proportional to 30,989.34, 46,475.71 and 13,455

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Solution

The fourth proportional to 30,989.34, 46,475.71 and 13,455 is: 20,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.34 : 46,475.71 = 13,455 : x
  2. Step 2: Convert to fraction form
    30,989.34/46,475.71 = 13,455/x
  3. Step 3: Cross multiply
    30,989.34x = 46,475.71 × 13,455
  4. Step 4: Simplify right side
    30,989.34x = 625,330,644.41
  5. Step 5: Solve for x
    x = 625,330,644.41/30,989.34
  6. Step 6: Final answer
    x = 20,178.90

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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.