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Finding the Fourth Proportional to 47,742.84, 65,891.16 and 28,879.92

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Solution

The fourth proportional to 47,742.84, 65,891.16 and 28,879.92 is: 39,857.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,742.84 : 65,891.16 = 28,879.92 : x
  2. Step 2: Convert to fraction form
    47,742.84/65,891.16 = 28,879.92/x
  3. Step 3: Cross multiply
    47,742.84x = 65,891.16 × 28,879.92
  4. Step 4: Simplify right side
    47,742.84x = 1,902,931,429.51
  5. Step 5: Solve for x
    x = 1,902,931,429.51/47,742.84
  6. Step 6: Final answer
    x = 39,857.94

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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.