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Finding the Fourth Proportional to 3,965.12, 5,948.16 and 1,656.32

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Solution

The fourth proportional to 3,965.12, 5,948.16 and 1,656.32 is: 2,484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.12 : 5,948.16 = 1,656.32 : x
  2. Step 2: Convert to fraction form
    3,965.12/5,948.16 = 1,656.32/x
  3. Step 3: Cross multiply
    3,965.12x = 5,948.16 × 1,656.32
  4. Step 4: Simplify right side
    3,965.12x = 9,852,056.37
  5. Step 5: Solve for x
    x = 9,852,056.37/3,965.12
  6. Step 6: Final answer
    x = 2,484.68

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Similar ratio
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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.