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Finding the Fourth Proportional to 3,164.61, 4,746.91 and 856.11

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Solution

The fourth proportional to 3,164.61, 4,746.91 and 856.11 is: 1,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.61 : 4,746.91 = 856.11 : x
  2. Step 2: Convert to fraction form
    3,164.61/4,746.91 = 856.11/x
  3. Step 3: Cross multiply
    3,164.61x = 4,746.91 × 856.11
  4. Step 4: Simplify right side
    3,164.61x = 4,063,877.12
  5. Step 5: Solve for x
    x = 4,063,877.12/3,164.61
  6. Step 6: Final answer
    x = 1,284.16

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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.