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Finding the Fourth Proportional to 9,859.40, 14,772.90 and 9,276.20

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Solution

The fourth proportional to 9,859.40, 14,772.90 and 9,276.20 is: 13,899.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.40 : 14,772.90 = 9,276.20 : x
  2. Step 2: Convert to fraction form
    9,859.40/14,772.90 = 9,276.20/x
  3. Step 3: Cross multiply
    9,859.40x = 14,772.90 × 9,276.20
  4. Step 4: Simplify right side
    9,859.40x = 137,036,374.98
  5. Step 5: Solve for x
    x = 137,036,374.98/9,859.40
  6. Step 6: Final answer
    x = 13,899.06

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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.