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Finding the Fourth Proportional to 10,430, 14,393.44 and 5,714.32

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Solution

The fourth proportional to 10,430, 14,393.44 and 5,714.32 is: 7,885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430 : 14,393.44 = 5,714.32 : x
  2. Step 2: Convert to fraction form
    10,430/14,393.44 = 5,714.32/x
  3. Step 3: Cross multiply
    10,430x = 14,393.44 × 5,714.32
  4. Step 4: Simplify right side
    10,430x = 82,248,722.06
  5. Step 5: Solve for x
    x = 82,248,722.06/10,430
  6. Step 6: Final answer
    x = 7,885.78

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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.