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Finding the Fourth Proportional to 8,637, 11,920.50 and 6,537.48

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Solution

The fourth proportional to 8,637, 11,920.50 and 6,537.48 is: 9,022.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,637 : 11,920.50 = 6,537.48 : x
  2. Step 2: Convert to fraction form
    8,637/11,920.50 = 6,537.48/x
  3. Step 3: Cross multiply
    8,637x = 11,920.50 × 6,537.48
  4. Step 4: Simplify right side
    8,637x = 77,930,030.34
  5. Step 5: Solve for x
    x = 77,930,030.34/8,637
  6. Step 6: Final answer
    x = 9,022.81

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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.