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Finding the Fourth Proportional to 12,902.80, 19,341.24 and 7,047.28

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Solution

The fourth proportional to 12,902.80, 19,341.24 and 7,047.28 is: 10,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.80 : 19,341.24 = 7,047.28 : x
  2. Step 2: Convert to fraction form
    12,902.80/19,341.24 = 7,047.28/x
  3. Step 3: Cross multiply
    12,902.80x = 19,341.24 × 7,047.28
  4. Step 4: Simplify right side
    12,902.80x = 136,303,133.83
  5. Step 5: Solve for x
    x = 136,303,133.83/12,902.80
  6. Step 6: Final answer
    x = 10,563.84

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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.