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Finding the Fourth Proportional to 7,886,315.74, 10,878,978.42 and 6,851,498.44

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Solution

The fourth proportional to 7,886,315.74, 10,878,978.42 and 6,851,498.44 is: 9,451,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886,315.74 : 10,878,978.42 = 6,851,498.44 : x
  2. Step 2: Convert to fraction form
    7,886,315.74/10,878,978.42 = 6,851,498.44/x
  3. Step 3: Cross multiply
    7,886,315.74x = 10,878,978.42 × 6,851,498.44
  4. Step 4: Simplify right side
    7,886,315.74x = 74,537,303,673,423.67
  5. Step 5: Solve for x
    x = 74,537,303,673,423.67/7,886,315.74
  6. Step 6: Final answer
    x = 9,451,473.43

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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.