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Finding the Fourth Proportional to 9,898.60, 14,827.20 and 4,638.10

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Solution

The fourth proportional to 9,898.60, 14,827.20 and 4,638.10 is: 6,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.60 : 14,827.20 = 4,638.10 : x
  2. Step 2: Convert to fraction form
    9,898.60/14,827.20 = 4,638.10/x
  3. Step 3: Cross multiply
    9,898.60x = 14,827.20 × 4,638.10
  4. Step 4: Simplify right side
    9,898.60x = 68,770,036.32
  5. Step 5: Solve for x
    x = 68,770,036.32/9,898.60
  6. Step 6: Final answer
    x = 6,947.45

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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.