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Finding the Fourth Proportional to 55,349, 83,024.22 and 18,413

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Solution

The fourth proportional to 55,349, 83,024.22 and 18,413 is: 27,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,349 : 83,024.22 = 18,413 : x
  2. Step 2: Convert to fraction form
    55,349/83,024.22 = 18,413/x
  3. Step 3: Cross multiply
    55,349x = 83,024.22 × 18,413
  4. Step 4: Simplify right side
    55,349x = 1,528,724,962.86
  5. Step 5: Solve for x
    x = 1,528,724,962.86/55,349
  6. Step 6: Final answer
    x = 27,619.74

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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.