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Finding the Fourth Proportional to 8,493.51, 12,740.34 and 2,570.42

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Solution

The fourth proportional to 8,493.51, 12,740.34 and 2,570.42 is: 3,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.51 : 12,740.34 = 2,570.42 : x
  2. Step 2: Convert to fraction form
    8,493.51/12,740.34 = 2,570.42/x
  3. Step 3: Cross multiply
    8,493.51x = 12,740.34 × 2,570.42
  4. Step 4: Simplify right side
    8,493.51x = 32,748,024.74
  5. Step 5: Solve for x
    x = 32,748,024.74/8,493.51
  6. Step 6: Final answer
    x = 3,855.65

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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.