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Finding the Fourth Proportional to 8,783.77, 12,124.43 and 5,802.25

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Solution

The fourth proportional to 8,783.77, 12,124.43 and 5,802.25 is: 8,008.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783.77 : 12,124.43 = 5,802.25 : x
  2. Step 2: Convert to fraction form
    8,783.77/12,124.43 = 5,802.25/x
  3. Step 3: Cross multiply
    8,783.77x = 12,124.43 × 5,802.25
  4. Step 4: Simplify right side
    8,783.77x = 70,348,944.96
  5. Step 5: Solve for x
    x = 70,348,944.96/8,783.77
  6. Step 6: Final answer
    x = 8,008.97

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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.