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Finding the Fourth Proportional to 7,854.71, 11,783.51 and 2,590.03

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Solution

The fourth proportional to 7,854.71, 11,783.51 and 2,590.03 is: 3,885.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.71 : 11,783.51 = 2,590.03 : x
  2. Step 2: Convert to fraction form
    7,854.71/11,783.51 = 2,590.03/x
  3. Step 3: Cross multiply
    7,854.71x = 11,783.51 × 2,590.03
  4. Step 4: Simplify right side
    7,854.71x = 30,519,644.41
  5. Step 5: Solve for x
    x = 30,519,644.41/7,854.71
  6. Step 6: Final answer
    x = 3,885.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.