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Finding the Fourth Proportional to 9,935.40, 14,903.10 and 9,206.40

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Solution

The fourth proportional to 9,935.40, 14,903.10 and 9,206.40 is: 13,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.40 : 14,903.10 = 9,206.40 : x
  2. Step 2: Convert to fraction form
    9,935.40/14,903.10 = 9,206.40/x
  3. Step 3: Cross multiply
    9,935.40x = 14,903.10 × 9,206.40
  4. Step 4: Simplify right side
    9,935.40x = 137,203,899.84
  5. Step 5: Solve for x
    x = 137,203,899.84/9,935.40
  6. Step 6: Final answer
    x = 13,809.60

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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.