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Finding the Fourth Proportional to 10,638.92, 15,934.62 and 7,710.50

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Solution

The fourth proportional to 10,638.92, 15,934.62 and 7,710.50 is: 11,548.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.92 : 15,934.62 = 7,710.50 : x
  2. Step 2: Convert to fraction form
    10,638.92/15,934.62 = 7,710.50/x
  3. Step 3: Cross multiply
    10,638.92x = 15,934.62 × 7,710.50
  4. Step 4: Simplify right side
    10,638.92x = 122,863,887.51
  5. Step 5: Solve for x
    x = 122,863,887.51/10,638.92
  6. Step 6: Final answer
    x = 11,548.53

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1.5x scale

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.