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Finding the Fourth Proportional to 51,214.58, 70,676.40 and 28,555

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Solution

The fourth proportional to 51,214.58, 70,676.40 and 28,555 is: 39,406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,214.58 : 70,676.40 = 28,555 : x
  2. Step 2: Convert to fraction form
    51,214.58/70,676.40 = 28,555/x
  3. Step 3: Cross multiply
    51,214.58x = 70,676.40 × 28,555
  4. Step 4: Simplify right side
    51,214.58x = 2,018,164,602.00
  5. Step 5: Solve for x
    x = 2,018,164,602.00/51,214.58
  6. Step 6: Final answer
    x = 39,406.06

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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.