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Finding the Fourth Proportional to 37,457.36, 51,690.80 and 20,690

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Solution

The fourth proportional to 37,457.36, 51,690.80 and 20,690 is: 28,552.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,457.36 : 51,690.80 = 20,690 : x
  2. Step 2: Convert to fraction form
    37,457.36/51,690.80 = 20,690/x
  3. Step 3: Cross multiply
    37,457.36x = 51,690.80 × 20,690
  4. Step 4: Simplify right side
    37,457.36x = 1,069,482,652.00
  5. Step 5: Solve for x
    x = 1,069,482,652.00/37,457.36
  6. Step 6: Final answer
    x = 28,552.00

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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.