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Finding the Fourth Proportional to 47,672.49, 65,780.73 and 28,547.79

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Solution

The fourth proportional to 47,672.49, 65,780.73 and 28,547.79 is: 39,391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,672.49 : 65,780.73 = 28,547.79 : x
  2. Step 2: Convert to fraction form
    47,672.49/65,780.73 = 28,547.79/x
  3. Step 3: Cross multiply
    47,672.49x = 65,780.73 × 28,547.79
  4. Step 4: Simplify right side
    47,672.49x = 1,877,894,137.18
  5. Step 5: Solve for x
    x = 1,877,894,137.18/47,672.49
  6. Step 6: Final answer
    x = 39,391.57

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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.