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Finding the Fourth Proportional to 38,409.69, 53,005.58 and 21,415

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Solution

The fourth proportional to 38,409.69, 53,005.58 and 21,415 is: 29,552.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,409.69 : 53,005.58 = 21,415 : x
  2. Step 2: Convert to fraction form
    38,409.69/53,005.58 = 21,415/x
  3. Step 3: Cross multiply
    38,409.69x = 53,005.58 × 21,415
  4. Step 4: Simplify right side
    38,409.69x = 1,135,114,495.70
  5. Step 5: Solve for x
    x = 1,135,114,495.70/38,409.69
  6. Step 6: Final answer
    x = 29,552.82

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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.