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Finding the Fourth Proportional to 1,789.07, 2,470.07 and 1,458.29

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Solution

The fourth proportional to 1,789.07, 2,470.07 and 1,458.29 is: 2,013.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.07 : 2,470.07 = 1,458.29 : x
  2. Step 2: Convert to fraction form
    1,789.07/2,470.07 = 1,458.29/x
  3. Step 3: Cross multiply
    1,789.07x = 2,470.07 × 1,458.29
  4. Step 4: Simplify right side
    1,789.07x = 3,602,058.74
  5. Step 5: Solve for x
    x = 3,602,058.74/1,789.07
  6. Step 6: Final answer
    x = 2,013.37

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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.