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Finding the Fourth Proportional to 19,877, 27,429.68 and 10,924.50

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Solution

The fourth proportional to 19,877, 27,429.68 and 10,924.50 is: 15,075.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877 : 27,429.68 = 10,924.50 : x
  2. Step 2: Convert to fraction form
    19,877/27,429.68 = 10,924.50/x
  3. Step 3: Cross multiply
    19,877x = 27,429.68 × 10,924.50
  4. Step 4: Simplify right side
    19,877x = 299,655,539.16
  5. Step 5: Solve for x
    x = 299,655,539.16/19,877
  6. Step 6: Final answer
    x = 15,075.49

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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.