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Finding the Fourth Proportional to 4,607.80, 6,911.70 and 2,417.20

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Solution

The fourth proportional to 4,607.80, 6,911.70 and 2,417.20 is: 3,625.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.80 : 6,911.70 = 2,417.20 : x
  2. Step 2: Convert to fraction form
    4,607.80/6,911.70 = 2,417.20/x
  3. Step 3: Cross multiply
    4,607.80x = 6,911.70 × 2,417.20
  4. Step 4: Simplify right side
    4,607.80x = 16,706,961.24
  5. Step 5: Solve for x
    x = 16,706,961.24/4,607.80
  6. Step 6: Final answer
    x = 3,625.80

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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.