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Finding the Fourth Proportional to 28,289.40, 42,406.20 and 15,815.40

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Solution

The fourth proportional to 28,289.40, 42,406.20 and 15,815.40 is: 23,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,289.40 : 42,406.20 = 15,815.40 : x
  2. Step 2: Convert to fraction form
    28,289.40/42,406.20 = 15,815.40/x
  3. Step 3: Cross multiply
    28,289.40x = 42,406.20 × 15,815.40
  4. Step 4: Simplify right side
    28,289.40x = 670,671,015.48
  5. Step 5: Solve for x
    x = 670,671,015.48/28,289.40
  6. Step 6: Final answer
    x = 23,707.50

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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.