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Finding the Fourth Proportional to 12,459.59, 17,184.51 and 7,983.77

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Solution

The fourth proportional to 12,459.59, 17,184.51 and 7,983.77 is: 11,011.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,459.59 : 17,184.51 = 7,983.77 : x
  2. Step 2: Convert to fraction form
    12,459.59/17,184.51 = 7,983.77/x
  3. Step 3: Cross multiply
    12,459.59x = 17,184.51 × 7,983.77
  4. Step 4: Simplify right side
    12,459.59x = 137,197,089.48
  5. Step 5: Solve for x
    x = 137,197,089.48/12,459.59
  6. Step 6: Final answer
    x = 11,011.37

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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.