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Finding the Fourth Proportional to 1,539.79, 2,124.98 and 841.21

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Solution

The fourth proportional to 1,539.79, 2,124.98 and 841.21 is: 1,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.79 : 2,124.98 = 841.21 : x
  2. Step 2: Convert to fraction form
    1,539.79/2,124.98 = 841.21/x
  3. Step 3: Cross multiply
    1,539.79x = 2,124.98 × 841.21
  4. Step 4: Simplify right side
    1,539.79x = 1,787,550.22
  5. Step 5: Solve for x
    x = 1,787,550.22/1,539.79
  6. Step 6: Final answer
    x = 1,160.91

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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.