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Finding the Fourth Proportional to 10,959.81, 15,124.71 and 6,178.87

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Solution

The fourth proportional to 10,959.81, 15,124.71 and 6,178.87 is: 8,526.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.81 : 15,124.71 = 6,178.87 : x
  2. Step 2: Convert to fraction form
    10,959.81/15,124.71 = 6,178.87/x
  3. Step 3: Cross multiply
    10,959.81x = 15,124.71 × 6,178.87
  4. Step 4: Simplify right side
    10,959.81x = 93,453,616.88
  5. Step 5: Solve for x
    x = 93,453,616.88/10,959.81
  6. Step 6: Final answer
    x = 8,526.94

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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.