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Finding the Fourth Proportional to 14,978.93, 20,670.16 and 9,009.45

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Solution

The fourth proportional to 14,978.93, 20,670.16 and 9,009.45 is: 12,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.93 : 20,670.16 = 9,009.45 : x
  2. Step 2: Convert to fraction form
    14,978.93/20,670.16 = 9,009.45/x
  3. Step 3: Cross multiply
    14,978.93x = 20,670.16 × 9,009.45
  4. Step 4: Simplify right side
    14,978.93x = 186,226,773.01
  5. Step 5: Solve for x
    x = 186,226,773.01/14,978.93
  6. Step 6: Final answer
    x = 12,432.58

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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.