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Finding the Fourth Proportional to 8,646.59, 12,970.31 and 4,208.33

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Solution

The fourth proportional to 8,646.59, 12,970.31 and 4,208.33 is: 6,312.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.59 : 12,970.31 = 4,208.33 : x
  2. Step 2: Convert to fraction form
    8,646.59/12,970.31 = 4,208.33/x
  3. Step 3: Cross multiply
    8,646.59x = 12,970.31 × 4,208.33
  4. Step 4: Simplify right side
    8,646.59x = 54,583,258.79
  5. Step 5: Solve for x
    x = 54,583,258.79/8,646.59
  6. Step 6: Final answer
    x = 6,312.70

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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.