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Finding the Fourth Proportional to 6,481,317.13, 9,721,978.93 and 1,688,994.25

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Solution

The fourth proportional to 6,481,317.13, 9,721,978.93 and 1,688,994.25 is: 2,533,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481,317.13 : 9,721,978.93 = 1,688,994.25 : x
  2. Step 2: Convert to fraction form
    6,481,317.13/9,721,978.93 = 1,688,994.25/x
  3. Step 3: Cross multiply
    6,481,317.13x = 9,721,978.93 × 1,688,994.25
  4. Step 4: Simplify right side
    6,481,317.13x = 16,420,366,489,197.45
  5. Step 5: Solve for x
    x = 16,420,366,489,197.45/6,481,317.13
  6. Step 6: Final answer
    x = 2,533,492.22

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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.