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Finding the Fourth Proportional to 12,835.98, 17,707.55 and 8,358.08

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Solution

The fourth proportional to 12,835.98, 17,707.55 and 8,358.08 is: 11,530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.98 : 17,707.55 = 8,358.08 : x
  2. Step 2: Convert to fraction form
    12,835.98/17,707.55 = 8,358.08/x
  3. Step 3: Cross multiply
    12,835.98x = 17,707.55 × 8,358.08
  4. Step 4: Simplify right side
    12,835.98x = 148,000,989.18
  5. Step 5: Solve for x
    x = 148,000,989.18/12,835.98
  6. Step 6: Final answer
    x = 11,530.17

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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.