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Finding the Fourth Proportional to 6,390.84, 9,586.71 and 1,710.84

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Solution

The fourth proportional to 6,390.84, 9,586.71 and 1,710.84 is: 2,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.84 : 9,586.71 = 1,710.84 : x
  2. Step 2: Convert to fraction form
    6,390.84/9,586.71 = 1,710.84/x
  3. Step 3: Cross multiply
    6,390.84x = 9,586.71 × 1,710.84
  4. Step 4: Simplify right side
    6,390.84x = 16,401,326.94
  5. Step 5: Solve for x
    x = 16,401,326.94/6,390.84
  6. Step 6: Final answer
    x = 2,566.38

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Double scale
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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.