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Finding the Fourth Proportional to 28,459.16, 42,693.80 and 9,741.28

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Solution

The fourth proportional to 28,459.16, 42,693.80 and 9,741.28 is: 14,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,459.16 : 42,693.80 = 9,741.28 : x
  2. Step 2: Convert to fraction form
    28,459.16/42,693.80 = 9,741.28/x
  3. Step 3: Cross multiply
    28,459.16x = 42,693.80 × 9,741.28
  4. Step 4: Simplify right side
    28,459.16x = 415,892,260.06
  5. Step 5: Solve for x
    x = 415,892,260.06/28,459.16
  6. Step 6: Final answer
    x = 14,613.65

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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.