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Finding the Fourth Proportional to 4,947.79, 7,419.51 and 1,484.23

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Solution

The fourth proportional to 4,947.79, 7,419.51 and 1,484.23 is: 2,225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.79 : 7,419.51 = 1,484.23 : x
  2. Step 2: Convert to fraction form
    4,947.79/7,419.51 = 1,484.23/x
  3. Step 3: Cross multiply
    4,947.79x = 7,419.51 × 1,484.23
  4. Step 4: Simplify right side
    4,947.79x = 11,012,259.33
  5. Step 5: Solve for x
    x = 11,012,259.33/4,947.79
  6. Step 6: Final answer
    x = 2,225.69

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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.