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Finding the Fourth Proportional to 10,609, 14,640.42 and 6,420.52

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Solution

The fourth proportional to 10,609, 14,640.42 and 6,420.52 is: 8,860.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609 : 14,640.42 = 6,420.52 : x
  2. Step 2: Convert to fraction form
    10,609/14,640.42 = 6,420.52/x
  3. Step 3: Cross multiply
    10,609x = 14,640.42 × 6,420.52
  4. Step 4: Simplify right side
    10,609x = 93,999,109.42
  5. Step 5: Solve for x
    x = 93,999,109.42/10,609
  6. Step 6: Final answer
    x = 8,860.32

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1.5x scale

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.