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Finding the Fourth Proportional to 15,077.95, 20,807.69 and 8,271.92

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Solution

The fourth proportional to 15,077.95, 20,807.69 and 8,271.92 is: 11,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,077.95 : 20,807.69 = 8,271.92 : x
  2. Step 2: Convert to fraction form
    15,077.95/20,807.69 = 8,271.92/x
  3. Step 3: Cross multiply
    15,077.95x = 20,807.69 × 8,271.92
  4. Step 4: Simplify right side
    15,077.95x = 172,119,557.72
  5. Step 5: Solve for x
    x = 172,119,557.72/15,077.95
  6. Step 6: Final answer
    x = 11,415.32

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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.