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Finding the Fourth Proportional to 14,978.92, 20,670.16 and 9,009.46

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Solution

The fourth proportional to 14,978.92, 20,670.16 and 9,009.46 is: 12,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.92 : 20,670.16 = 9,009.46 : x
  2. Step 2: Convert to fraction form
    14,978.92/20,670.16 = 9,009.46/x
  3. Step 3: Cross multiply
    14,978.92x = 20,670.16 × 9,009.46
  4. Step 4: Simplify right side
    14,978.92x = 186,226,979.71
  5. Step 5: Solve for x
    x = 186,226,979.71/14,978.92
  6. Step 6: Final answer
    x = 12,432.60

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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.