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Finding the Fourth Proportional to 10,404.36, 14,357.93 and 5,688.68

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Solution

The fourth proportional to 10,404.36, 14,357.93 and 5,688.68 is: 7,850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.36 : 14,357.93 = 5,688.68 : x
  2. Step 2: Convert to fraction form
    10,404.36/14,357.93 = 5,688.68/x
  3. Step 3: Cross multiply
    10,404.36x = 14,357.93 × 5,688.68
  4. Step 4: Simplify right side
    10,404.36x = 81,677,569.00
  5. Step 5: Solve for x
    x = 81,677,569.00/10,404.36
  6. Step 6: Final answer
    x = 7,850.32

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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.