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Finding the Fourth Proportional to 4,897.13, 7,348.93 and 1,819.13

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Solution

The fourth proportional to 4,897.13, 7,348.93 and 1,819.13 is: 2,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.13 : 7,348.93 = 1,819.13 : x
  2. Step 2: Convert to fraction form
    4,897.13/7,348.93 = 1,819.13/x
  3. Step 3: Cross multiply
    4,897.13x = 7,348.93 × 1,819.13
  4. Step 4: Simplify right side
    4,897.13x = 13,368,617.74
  5. Step 5: Solve for x
    x = 13,368,617.74/4,897.13
  6. Step 6: Final answer
    x = 2,729.89

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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.