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Finding the Fourth Proportional to 5,303.84, 7,319.40 and 2,945.84

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Solution

The fourth proportional to 5,303.84, 7,319.40 and 2,945.84 is: 4,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.84 : 7,319.40 = 2,945.84 : x
  2. Step 2: Convert to fraction form
    5,303.84/7,319.40 = 2,945.84/x
  3. Step 3: Cross multiply
    5,303.84x = 7,319.40 × 2,945.84
  4. Step 4: Simplify right side
    5,303.84x = 21,561,781.30
  5. Step 5: Solve for x
    x = 21,561,781.30/5,303.84
  6. Step 6: Final answer
    x = 4,065.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.