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Finding the Fourth Proportional to 13,802.78, 19,048.29 and 7,754.08

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Solution

The fourth proportional to 13,802.78, 19,048.29 and 7,754.08 is: 10,700.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.78 : 19,048.29 = 7,754.08 : x
  2. Step 2: Convert to fraction form
    13,802.78/19,048.29 = 7,754.08/x
  3. Step 3: Cross multiply
    13,802.78x = 19,048.29 × 7,754.08
  4. Step 4: Simplify right side
    13,802.78x = 147,701,869.28
  5. Step 5: Solve for x
    x = 147,701,869.28/13,802.78
  6. Step 6: Final answer
    x = 10,700.88

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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.