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Finding the Fourth Proportional to 3,085.61, 4,628.28 and 894.29

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Solution

The fourth proportional to 3,085.61, 4,628.28 and 894.29 is: 1,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.61 : 4,628.28 = 894.29 : x
  2. Step 2: Convert to fraction form
    3,085.61/4,628.28 = 894.29/x
  3. Step 3: Cross multiply
    3,085.61x = 4,628.28 × 894.29
  4. Step 4: Simplify right side
    3,085.61x = 4,139,024.52
  5. Step 5: Solve for x
    x = 4,139,024.52/3,085.61
  6. Step 6: Final answer
    x = 1,341.40

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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.