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Finding the Fourth Proportional to 3,544.49, 5,316.80 and 947.41

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Solution

The fourth proportional to 3,544.49, 5,316.80 and 947.41 is: 1,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.49 : 5,316.80 = 947.41 : x
  2. Step 2: Convert to fraction form
    3,544.49/5,316.80 = 947.41/x
  3. Step 3: Cross multiply
    3,544.49x = 5,316.80 × 947.41
  4. Step 4: Simplify right side
    3,544.49x = 5,037,189.49
  5. Step 5: Solve for x
    x = 5,037,189.49/3,544.49
  6. Step 6: Final answer
    x = 1,421.13

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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.