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Finding the Fourth Proportional to 4,326.75, 6,490.13 and 1,206.77

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Solution

The fourth proportional to 4,326.75, 6,490.13 and 1,206.77 is: 1,810.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.75 : 6,490.13 = 1,206.77 : x
  2. Step 2: Convert to fraction form
    4,326.75/6,490.13 = 1,206.77/x
  3. Step 3: Cross multiply
    4,326.75x = 6,490.13 × 1,206.77
  4. Step 4: Simplify right side
    4,326.75x = 7,832,094.18
  5. Step 5: Solve for x
    x = 7,832,094.18/4,326.75
  6. Step 6: Final answer
    x = 1,810.16

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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.