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Finding the Fourth Proportional to 8,421.72, 11,637.42 and 8,017.08

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Solution

The fourth proportional to 8,421.72, 11,637.42 and 8,017.08 is: 11,078.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.72 : 11,637.42 = 8,017.08 : x
  2. Step 2: Convert to fraction form
    8,421.72/11,637.42 = 8,017.08/x
  3. Step 3: Cross multiply
    8,421.72x = 11,637.42 × 8,017.08
  4. Step 4: Simplify right side
    8,421.72x = 93,298,127.13
  5. Step 5: Solve for x
    x = 93,298,127.13/8,421.72
  6. Step 6: Final answer
    x = 11,078.27

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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.