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Finding the Fourth Proportional to 20,978.84, 28,950.60 and 11,547.32

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Solution

The fourth proportional to 20,978.84, 28,950.60 and 11,547.32 is: 15,935.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.84 : 28,950.60 = 11,547.32 : x
  2. Step 2: Convert to fraction form
    20,978.84/28,950.60 = 11,547.32/x
  3. Step 3: Cross multiply
    20,978.84x = 28,950.60 × 11,547.32
  4. Step 4: Simplify right side
    20,978.84x = 334,301,842.39
  5. Step 5: Solve for x
    x = 334,301,842.39/20,978.84
  6. Step 6: Final answer
    x = 15,935.19

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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.