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Finding the Fourth Proportional to 4,681.80, 6,986.25 and 4,649.40

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Solution

The fourth proportional to 4,681.80, 6,986.25 and 4,649.40 is: 6,937.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.80 : 6,986.25 = 4,649.40 : x
  2. Step 2: Convert to fraction form
    4,681.80/6,986.25 = 4,649.40/x
  3. Step 3: Cross multiply
    4,681.80x = 6,986.25 × 4,649.40
  4. Step 4: Simplify right side
    4,681.80x = 32,481,870.75
  5. Step 5: Solve for x
    x = 32,481,870.75/4,681.80
  6. Step 6: Final answer
    x = 6,937.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.