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Finding the Fourth Proportional to 6,587.91, 9,881.74 and 1,657.55

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Solution

The fourth proportional to 6,587.91, 9,881.74 and 1,657.55 is: 2,486.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.91 : 9,881.74 = 1,657.55 : x
  2. Step 2: Convert to fraction form
    6,587.91/9,881.74 = 1,657.55/x
  3. Step 3: Cross multiply
    6,587.91x = 9,881.74 × 1,657.55
  4. Step 4: Simplify right side
    6,587.91x = 16,379,498.70
  5. Step 5: Solve for x
    x = 16,379,498.70/6,587.91
  6. Step 6: Final answer
    x = 2,486.30

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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.