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Finding the Fourth Proportional to 5,220.39, 7,830.59 and 1,523.00

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Solution

The fourth proportional to 5,220.39, 7,830.59 and 1,523.00 is: 2,284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.39 : 7,830.59 = 1,523.00 : x
  2. Step 2: Convert to fraction form
    5,220.39/7,830.59 = 1,523.00/x
  3. Step 3: Cross multiply
    5,220.39x = 7,830.59 × 1,523.00
  4. Step 4: Simplify right side
    5,220.39x = 11,925,941.80
  5. Step 5: Solve for x
    x = 11,925,941.80/5,220.39
  6. Step 6: Final answer
    x = 2,284.49

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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.