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Finding the Fourth Proportional to 10,477.86, 15,698.51 and 8,734.07

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Solution

The fourth proportional to 10,477.86, 15,698.51 and 8,734.07 is: 13,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.86 : 15,698.51 = 8,734.07 : x
  2. Step 2: Convert to fraction form
    10,477.86/15,698.51 = 8,734.07/x
  3. Step 3: Cross multiply
    10,477.86x = 15,698.51 × 8,734.07
  4. Step 4: Simplify right side
    10,477.86x = 137,111,885.24
  5. Step 5: Solve for x
    x = 137,111,885.24/10,477.86
  6. Step 6: Final answer
    x = 13,085.87

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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.