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Finding the Fourth Proportional to 1,357.93, 1,873.92 and 826.63

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Solution

The fourth proportional to 1,357.93, 1,873.92 and 826.63 is: 1,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.93 : 1,873.92 = 826.63 : x
  2. Step 2: Convert to fraction form
    1,357.93/1,873.92 = 826.63/x
  3. Step 3: Cross multiply
    1,357.93x = 1,873.92 × 826.63
  4. Step 4: Simplify right side
    1,357.93x = 1,549,038.49
  5. Step 5: Solve for x
    x = 1,549,038.49/1,357.93
  6. Step 6: Final answer
    x = 1,140.74

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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.