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Finding the Fourth Proportional to 10,103.84, 15,159.48 and 4,259.84

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Solution

The fourth proportional to 10,103.84, 15,159.48 and 4,259.84 is: 6,391.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.84 : 15,159.48 = 4,259.84 : x
  2. Step 2: Convert to fraction form
    10,103.84/15,159.48 = 4,259.84/x
  3. Step 3: Cross multiply
    10,103.84x = 15,159.48 × 4,259.84
  4. Step 4: Simplify right side
    10,103.84x = 64,576,959.28
  5. Step 5: Solve for x
    x = 64,576,959.28/10,103.84
  6. Step 6: Final answer
    x = 6,391.33

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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.