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Finding the Fourth Proportional to 5,415.76, 8,123.64 and 1,953

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Solution

The fourth proportional to 5,415.76, 8,123.64 and 1,953 is: 2,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.76 : 8,123.64 = 1,953 : x
  2. Step 2: Convert to fraction form
    5,415.76/8,123.64 = 1,953/x
  3. Step 3: Cross multiply
    5,415.76x = 8,123.64 × 1,953
  4. Step 4: Simplify right side
    5,415.76x = 15,865,468.92
  5. Step 5: Solve for x
    x = 15,865,468.92/5,415.76
  6. Step 6: Final answer
    x = 2,929.50

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Double scale
Find fourth proportional to 5,416.76, 8,125.14 and 1,954
Similar ratio
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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.