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Finding the Fourth Proportional to 15,776.10, 21,770.69 and 8,702.53

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Solution

The fourth proportional to 15,776.10, 21,770.69 and 8,702.53 is: 12,009.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776.10 : 21,770.69 = 8,702.53 : x
  2. Step 2: Convert to fraction form
    15,776.10/21,770.69 = 8,702.53/x
  3. Step 3: Cross multiply
    15,776.10x = 21,770.69 × 8,702.53
  4. Step 4: Simplify right side
    15,776.10x = 189,460,082.85
  5. Step 5: Solve for x
    x = 189,460,082.85/15,776.10
  6. Step 6: Final answer
    x = 12,009.31

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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.