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Finding the Fourth Proportional to 10,407.69, 15,600.60 and 6,458.94

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Solution

The fourth proportional to 10,407.69, 15,600.60 and 6,458.94 is: 9,681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.69 : 15,600.60 = 6,458.94 : x
  2. Step 2: Convert to fraction form
    10,407.69/15,600.60 = 6,458.94/x
  3. Step 3: Cross multiply
    10,407.69x = 15,600.60 × 6,458.94
  4. Step 4: Simplify right side
    10,407.69x = 100,763,339.36
  5. Step 5: Solve for x
    x = 100,763,339.36/10,407.69
  6. Step 6: Final answer
    x = 9,681.62

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1.5x scale

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.