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Finding the Fourth Proportional to 10,407.04, 15,579.80 and 6,698.32

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Solution

The fourth proportional to 10,407.04, 15,579.80 and 6,698.32 is: 10,027.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.04 : 15,579.80 = 6,698.32 : x
  2. Step 2: Convert to fraction form
    10,407.04/15,579.80 = 6,698.32/x
  3. Step 3: Cross multiply
    10,407.04x = 15,579.80 × 6,698.32
  4. Step 4: Simplify right side
    10,407.04x = 104,358,485.94
  5. Step 5: Solve for x
    x = 104,358,485.94/10,407.04
  6. Step 6: Final answer
    x = 10,027.68

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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.