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Finding the Fourth Proportional to 55,638.61, 83,457.15 and 13,519

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Solution

The fourth proportional to 55,638.61, 83,457.15 and 13,519 is: 20,278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,638.61 : 83,457.15 = 13,519 : x
  2. Step 2: Convert to fraction form
    55,638.61/83,457.15 = 13,519/x
  3. Step 3: Cross multiply
    55,638.61x = 83,457.15 × 13,519
  4. Step 4: Simplify right side
    55,638.61x = 1,128,257,210.85
  5. Step 5: Solve for x
    x = 1,128,257,210.85/55,638.61
  6. Step 6: Final answer
    x = 20,278.31

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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.