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Finding the Fourth Proportional to 28,284.94, 38,996.07 and 23,509

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Solution

The fourth proportional to 28,284.94, 38,996.07 and 23,509 is: 32,411.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,284.94 : 38,996.07 = 23,509 : x
  2. Step 2: Convert to fraction form
    28,284.94/38,996.07 = 23,509/x
  3. Step 3: Cross multiply
    28,284.94x = 38,996.07 × 23,509
  4. Step 4: Simplify right side
    28,284.94x = 916,758,609.63
  5. Step 5: Solve for x
    x = 916,758,609.63/28,284.94
  6. Step 6: Final answer
    x = 32,411.55

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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.