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Finding the Fourth Proportional to 13,897.52, 20,835.84 and 7,660.16

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Solution

The fourth proportional to 13,897.52, 20,835.84 and 7,660.16 is: 11,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.52 : 20,835.84 = 7,660.16 : x
  2. Step 2: Convert to fraction form
    13,897.52/20,835.84 = 7,660.16/x
  3. Step 3: Cross multiply
    13,897.52x = 20,835.84 × 7,660.16
  4. Step 4: Simplify right side
    13,897.52x = 159,605,868.13
  5. Step 5: Solve for x
    x = 159,605,868.13/13,897.52
  6. Step 6: Final answer
    x = 11,484.49

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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.