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Finding the Fourth Proportional to 10,523.57, 15,807.23 and 8,347.51

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Solution

The fourth proportional to 10,523.57, 15,807.23 and 8,347.51 is: 12,538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.57 : 15,807.23 = 8,347.51 : x
  2. Step 2: Convert to fraction form
    10,523.57/15,807.23 = 8,347.51/x
  3. Step 3: Cross multiply
    10,523.57x = 15,807.23 × 8,347.51
  4. Step 4: Simplify right side
    10,523.57x = 131,950,929.24
  5. Step 5: Solve for x
    x = 131,950,929.24/10,523.57
  6. Step 6: Final answer
    x = 12,538.61

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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.