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Finding the Fourth Proportional to 28,784.76, 39,722.76 and 16,209.48

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Solution

The fourth proportional to 28,784.76, 39,722.76 and 16,209.48 is: 22,368.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,784.76 : 39,722.76 = 16,209.48 : x
  2. Step 2: Convert to fraction form
    28,784.76/39,722.76 = 16,209.48/x
  3. Step 3: Cross multiply
    28,784.76x = 39,722.76 × 16,209.48
  4. Step 4: Simplify right side
    28,784.76x = 643,885,283.76
  5. Step 5: Solve for x
    x = 643,885,283.76/28,784.76
  6. Step 6: Final answer
    x = 22,368.96

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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.