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Finding the Fourth Proportional to 6,381.69, 9,570.80 and 4,038.18

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Solution

The fourth proportional to 6,381.69, 9,570.80 and 4,038.18 is: 6,056.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.69 : 9,570.80 = 4,038.18 : x
  2. Step 2: Convert to fraction form
    6,381.69/9,570.80 = 4,038.18/x
  3. Step 3: Cross multiply
    6,381.69x = 9,570.80 × 4,038.18
  4. Step 4: Simplify right side
    6,381.69x = 38,648,592.95
  5. Step 5: Solve for x
    x = 38,648,592.95/6,381.69
  6. Step 6: Final answer
    x = 6,056.17

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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.