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Finding the Fourth Proportional to 13,070.80, 19,573.80 and 10,478.80

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Solution

The fourth proportional to 13,070.80, 19,573.80 and 10,478.80 is: 15,692.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070.80 : 19,573.80 = 10,478.80 : x
  2. Step 2: Convert to fraction form
    13,070.80/19,573.80 = 10,478.80/x
  3. Step 3: Cross multiply
    13,070.80x = 19,573.80 × 10,478.80
  4. Step 4: Simplify right side
    13,070.80x = 205,109,935.44
  5. Step 5: Solve for x
    x = 205,109,935.44/13,070.80
  6. Step 6: Final answer
    x = 15,692.23

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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.