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Finding the Fourth Proportional to 57,280, 85,927.02 and 17,830.84

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Solution

The fourth proportional to 57,280, 85,927.02 and 17,830.84 is: 26,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,280 : 85,927.02 = 17,830.84 : x
  2. Step 2: Convert to fraction form
    57,280/85,927.02 = 17,830.84/x
  3. Step 3: Cross multiply
    57,280x = 85,927.02 × 17,830.84
  4. Step 4: Simplify right side
    57,280x = 1,532,150,945.30
  5. Step 5: Solve for x
    x = 1,532,150,945.30/57,280
  6. Step 6: Final answer
    x = 26,748.45

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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.