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Finding the Fourth Proportional to 5,726.74, 8,587.62 and 1,978.91

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Solution

The fourth proportional to 5,726.74, 8,587.62 and 1,978.91 is: 2,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.74 : 8,587.62 = 1,978.91 : x
  2. Step 2: Convert to fraction form
    5,726.74/8,587.62 = 1,978.91/x
  3. Step 3: Cross multiply
    5,726.74x = 8,587.62 × 1,978.91
  4. Step 4: Simplify right side
    5,726.74x = 16,994,127.09
  5. Step 5: Solve for x
    x = 16,994,127.09/5,726.74
  6. Step 6: Final answer
    x = 2,967.50

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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.