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Finding the Fourth Proportional to 10,894,564.80, 16,299,856.80 and 7,115,428.80

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Solution

The fourth proportional to 10,894,564.80, 16,299,856.80 and 7,115,428.80 is: 10,645,718.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894,564.80 : 16,299,856.80 = 7,115,428.80 : x
  2. Step 2: Convert to fraction form
    10,894,564.80/16,299,856.80 = 7,115,428.80/x
  3. Step 3: Cross multiply
    10,894,564.80x = 16,299,856.80 × 7,115,428.80
  4. Step 4: Simplify right side
    10,894,564.80x = 115,980,470,510,595.84
  5. Step 5: Solve for x
    x = 115,980,470,510,595.84/10,894,564.80
  6. Step 6: Final answer
    x = 10,645,718.54

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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.