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Finding the Fourth Proportional to 13,478.64, 18,600.10 and 7,813.50

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Solution

The fourth proportional to 13,478.64, 18,600.10 and 7,813.50 is: 10,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.64 : 18,600.10 = 7,813.50 : x
  2. Step 2: Convert to fraction form
    13,478.64/18,600.10 = 7,813.50/x
  3. Step 3: Cross multiply
    13,478.64x = 18,600.10 × 7,813.50
  4. Step 4: Simplify right side
    13,478.64x = 145,331,881.35
  5. Step 5: Solve for x
    x = 145,331,881.35/13,478.64
  6. Step 6: Final answer
    x = 10,782.38

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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.