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Finding the Fourth Proportional to 15,879, 21,909.60 and 9,590.16

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Solution

The fourth proportional to 15,879, 21,909.60 and 9,590.16 is: 13,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,879 : 21,909.60 = 9,590.16 : x
  2. Step 2: Convert to fraction form
    15,879/21,909.60 = 9,590.16/x
  3. Step 3: Cross multiply
    15,879x = 21,909.60 × 9,590.16
  4. Step 4: Simplify right side
    15,879x = 210,116,569.54
  5. Step 5: Solve for x
    x = 210,116,569.54/15,879
  6. Step 6: Final answer
    x = 13,232.36

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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.