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Finding the Fourth Proportional to 5,714.32, 7,888.64 and 5,409.08

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Solution

The fourth proportional to 5,714.32, 7,888.64 and 5,409.08 is: 7,467.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.32 : 7,888.64 = 5,409.08 : x
  2. Step 2: Convert to fraction form
    5,714.32/7,888.64 = 5,409.08/x
  3. Step 3: Cross multiply
    5,714.32x = 7,888.64 × 5,409.08
  4. Step 4: Simplify right side
    5,714.32x = 42,670,277.53
  5. Step 5: Solve for x
    x = 42,670,277.53/5,714.32
  6. Step 6: Final answer
    x = 7,467.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.