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Finding the Fourth Proportional to 37,776.84, 52,130.97 and 21,009.84

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Solution

The fourth proportional to 37,776.84, 52,130.97 and 21,009.84 is: 28,992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,776.84 : 52,130.97 = 21,009.84 : x
  2. Step 2: Convert to fraction form
    37,776.84/52,130.97 = 21,009.84/x
  3. Step 3: Cross multiply
    37,776.84x = 52,130.97 × 21,009.84
  4. Step 4: Simplify right side
    37,776.84x = 1,095,263,338.74
  5. Step 5: Solve for x
    x = 1,095,263,338.74/37,776.84
  6. Step 6: Final answer
    x = 28,992.98

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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.