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Finding the Fourth Proportional to 4,085.54, 6,129.12 and 1,312.00

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Solution

The fourth proportional to 4,085.54, 6,129.12 and 1,312.00 is: 1,968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,085.54 : 6,129.12 = 1,312.00 : x
  2. Step 2: Convert to fraction form
    4,085.54/6,129.12 = 1,312.00/x
  3. Step 3: Cross multiply
    4,085.54x = 6,129.12 × 1,312.00
  4. Step 4: Simplify right side
    4,085.54x = 8,041,387.66
  5. Step 5: Solve for x
    x = 8,041,387.66/4,085.54
  6. Step 6: Final answer
    x = 1,968.26

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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.