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Finding the Fourth Proportional to 15,102.76, 22,656.98 and 6,782.58

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Solution

The fourth proportional to 15,102.76, 22,656.98 and 6,782.58 is: 10,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.76 : 22,656.98 = 6,782.58 : x
  2. Step 2: Convert to fraction form
    15,102.76/22,656.98 = 6,782.58/x
  3. Step 3: Cross multiply
    15,102.76x = 22,656.98 × 6,782.58
  4. Step 4: Simplify right side
    15,102.76x = 153,672,779.41
  5. Step 5: Solve for x
    x = 153,672,779.41/15,102.76
  6. Step 6: Final answer
    x = 10,175.15

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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.