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Finding the Fourth Proportional to 25,783.92, 35,582.17 and 15,712.78

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Solution

The fourth proportional to 25,783.92, 35,582.17 and 15,712.78 is: 21,683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,783.92 : 35,582.17 = 15,712.78 : x
  2. Step 2: Convert to fraction form
    25,783.92/35,582.17 = 15,712.78/x
  3. Step 3: Cross multiply
    25,783.92x = 35,582.17 × 15,712.78
  4. Step 4: Simplify right side
    25,783.92x = 559,094,809.13
  5. Step 5: Solve for x
    x = 559,094,809.13/25,783.92
  6. Step 6: Final answer
    x = 21,683.86

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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.