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Finding the Fourth Proportional to 8,670.51, 13,006.64 and 2,430.54

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Solution

The fourth proportional to 8,670.51, 13,006.64 and 2,430.54 is: 3,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.51 : 13,006.64 = 2,430.54 : x
  2. Step 2: Convert to fraction form
    8,670.51/13,006.64 = 2,430.54/x
  3. Step 3: Cross multiply
    8,670.51x = 13,006.64 × 2,430.54
  4. Step 4: Simplify right side
    8,670.51x = 31,613,164.86
  5. Step 5: Solve for x
    x = 31,613,164.86/8,670.51
  6. Step 6: Final answer
    x = 3,646.06

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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.