Home / 2,947.09-4,421.27-972.80

Finding the Fourth Proportional to 2,947.09, 4,421.27 and 972.80

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Solution

The fourth proportional to 2,947.09, 4,421.27 and 972.80 is: 1,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.09 : 4,421.27 = 972.80 : x
  2. Step 2: Convert to fraction form
    2,947.09/4,421.27 = 972.80/x
  3. Step 3: Cross multiply
    2,947.09x = 4,421.27 × 972.80
  4. Step 4: Simplify right side
    2,947.09x = 4,301,024.94
  5. Step 5: Solve for x
    x = 4,301,024.94/2,947.09
  6. Step 6: Final answer
    x = 1,459.42

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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.