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Finding the Fourth Proportional to 16,378.20, 24,510.60 and 9,809.10

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Solution

The fourth proportional to 16,378.20, 24,510.60 and 9,809.10 is: 14,679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.20 : 24,510.60 = 9,809.10 : x
  2. Step 2: Convert to fraction form
    16,378.20/24,510.60 = 9,809.10/x
  3. Step 3: Cross multiply
    16,378.20x = 24,510.60 × 9,809.10
  4. Step 4: Simplify right side
    16,378.20x = 240,426,926.46
  5. Step 5: Solve for x
    x = 240,426,926.46/16,378.20
  6. Step 6: Final answer
    x = 14,679.69

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1.5x scale

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.