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Finding the Fourth Proportional to 7,809.64, 11,714.56 and 3,130.08

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Solution

The fourth proportional to 7,809.64, 11,714.56 and 3,130.08 is: 4,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.64 : 11,714.56 = 3,130.08 : x
  2. Step 2: Convert to fraction form
    7,809.64/11,714.56 = 3,130.08/x
  3. Step 3: Cross multiply
    7,809.64x = 11,714.56 × 3,130.08
  4. Step 4: Simplify right side
    7,809.64x = 36,667,509.96
  5. Step 5: Solve for x
    x = 36,667,509.96/7,809.64
  6. Step 6: Final answer
    x = 4,695.16

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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.