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Finding the Fourth Proportional to 37,643.84, 56,420.18 and 20,986.18

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Solution

The fourth proportional to 37,643.84, 56,420.18 and 20,986.18 is: 31,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,643.84 : 56,420.18 = 20,986.18 : x
  2. Step 2: Convert to fraction form
    37,643.84/56,420.18 = 20,986.18/x
  3. Step 3: Cross multiply
    37,643.84x = 56,420.18 × 20,986.18
  4. Step 4: Simplify right side
    37,643.84x = 1,184,044,053.11
  5. Step 5: Solve for x
    x = 1,184,044,053.11/37,643.84
  6. Step 6: Final answer
    x = 31,453.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.