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Finding the Fourth Proportional to 8,973.16, 13,459.62 and 3,129.74

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Solution

The fourth proportional to 8,973.16, 13,459.62 and 3,129.74 is: 4,694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.16 : 13,459.62 = 3,129.74 : x
  2. Step 2: Convert to fraction form
    8,973.16/13,459.62 = 3,129.74/x
  3. Step 3: Cross multiply
    8,973.16x = 13,459.62 × 3,129.74
  4. Step 4: Simplify right side
    8,973.16x = 42,125,111.10
  5. Step 5: Solve for x
    x = 42,125,111.10/8,973.16
  6. Step 6: Final answer
    x = 4,694.57

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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.