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Finding the Fourth Proportional to 5,690.79, 8,536.59 and 1,530.90

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Solution

The fourth proportional to 5,690.79, 8,536.59 and 1,530.90 is: 2,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.79 : 8,536.59 = 1,530.90 : x
  2. Step 2: Convert to fraction form
    5,690.79/8,536.59 = 1,530.90/x
  3. Step 3: Cross multiply
    5,690.79x = 8,536.59 × 1,530.90
  4. Step 4: Simplify right side
    5,690.79x = 13,068,665.63
  5. Step 5: Solve for x
    x = 13,068,665.63/5,690.79
  6. Step 6: Final answer
    x = 2,296.46

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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.