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Finding the Fourth Proportional to 9,876.80, 14,815.20 and 9,439.40

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Solution

The fourth proportional to 9,876.80, 14,815.20 and 9,439.40 is: 14,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.80 : 14,815.20 = 9,439.40 : x
  2. Step 2: Convert to fraction form
    9,876.80/14,815.20 = 9,439.40/x
  3. Step 3: Cross multiply
    9,876.80x = 14,815.20 × 9,439.40
  4. Step 4: Simplify right side
    9,876.80x = 139,846,598.88
  5. Step 5: Solve for x
    x = 139,846,598.88/9,876.80
  6. Step 6: Final answer
    x = 14,159.10

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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.