Home / 1,470.25-2,029.14-947.80

Finding the Fourth Proportional to 1,470.25, 2,029.14 and 947.80

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Solution

The fourth proportional to 1,470.25, 2,029.14 and 947.80 is: 1,308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.25 : 2,029.14 = 947.80 : x
  2. Step 2: Convert to fraction form
    1,470.25/2,029.14 = 947.80/x
  3. Step 3: Cross multiply
    1,470.25x = 2,029.14 × 947.80
  4. Step 4: Simplify right side
    1,470.25x = 1,923,204.01
  5. Step 5: Solve for x
    x = 1,923,204.01/1,470.25
  6. Step 6: Final answer
    x = 1,308.08

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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.