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Finding the Fourth Proportional to 4,691.30, 6,465.88 and 4,090.06

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Solution

The fourth proportional to 4,691.30, 6,465.88 and 4,090.06 is: 5,637.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.30 : 6,465.88 = 4,090.06 : x
  2. Step 2: Convert to fraction form
    4,691.30/6,465.88 = 4,090.06/x
  3. Step 3: Cross multiply
    4,691.30x = 6,465.88 × 4,090.06
  4. Step 4: Simplify right side
    4,691.30x = 26,445,837.15
  5. Step 5: Solve for x
    x = 26,445,837.15/4,691.30
  6. Step 6: Final answer
    x = 5,637.21

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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.