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Finding the Fourth Proportional to 6,590.84, 9,888.53 and 4,122.72

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Solution

The fourth proportional to 6,590.84, 9,888.53 and 4,122.72 is: 6,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.84 : 9,888.53 = 4,122.72 : x
  2. Step 2: Convert to fraction form
    6,590.84/9,888.53 = 4,122.72/x
  3. Step 3: Cross multiply
    6,590.84x = 9,888.53 × 4,122.72
  4. Step 4: Simplify right side
    6,590.84x = 40,767,590.96
  5. Step 5: Solve for x
    x = 40,767,590.96/6,590.84
  6. Step 6: Final answer
    x = 6,185.50

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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.