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Finding the Fourth Proportional to 15,865.92, 23,798.64 and 5,477.76

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Solution

The fourth proportional to 15,865.92, 23,798.64 and 5,477.76 is: 8,216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.92 : 23,798.64 = 5,477.76 : x
  2. Step 2: Convert to fraction form
    15,865.92/23,798.64 = 5,477.76/x
  3. Step 3: Cross multiply
    15,865.92x = 23,798.64 × 5,477.76
  4. Step 4: Simplify right side
    15,865.92x = 130,363,238.25
  5. Step 5: Solve for x
    x = 130,363,238.25/15,865.92
  6. Step 6: Final answer
    x = 8,216.56

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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.