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Finding the Fourth Proportional to 10,780, 14,877.26 and 6,064.63

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Solution

The fourth proportional to 10,780, 14,877.26 and 6,064.63 is: 8,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780 : 14,877.26 = 6,064.63 : x
  2. Step 2: Convert to fraction form
    10,780/14,877.26 = 6,064.63/x
  3. Step 3: Cross multiply
    10,780x = 14,877.26 × 6,064.63
  4. Step 4: Simplify right side
    10,780x = 90,225,077.31
  5. Step 5: Solve for x
    x = 90,225,077.31/10,780
  6. Step 6: Final answer
    x = 8,369.67

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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.