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Finding the Fourth Proportional to 46,978.56, 64,838.70 and 28,115.64

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Solution

The fourth proportional to 46,978.56, 64,838.70 and 28,115.64 is: 38,804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.56 : 64,838.70 = 28,115.64 : x
  2. Step 2: Convert to fraction form
    46,978.56/64,838.70 = 28,115.64/x
  3. Step 3: Cross multiply
    46,978.56x = 64,838.70 × 28,115.64
  4. Step 4: Simplify right side
    46,978.56x = 1,822,981,547.27
  5. Step 5: Solve for x
    x = 1,822,981,547.27/46,978.56
  6. Step 6: Final answer
    x = 38,804.54

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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.