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Finding the Fourth Proportional to 10,647.40, 14,690.02 and 7,853.80

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Solution

The fourth proportional to 10,647.40, 14,690.02 and 7,853.80 is: 10,835.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.40 : 14,690.02 = 7,853.80 : x
  2. Step 2: Convert to fraction form
    10,647.40/14,690.02 = 7,853.80/x
  3. Step 3: Cross multiply
    10,647.40x = 14,690.02 × 7,853.80
  4. Step 4: Simplify right side
    10,647.40x = 115,372,479.08
  5. Step 5: Solve for x
    x = 115,372,479.08/10,647.40
  6. Step 6: Final answer
    x = 10,835.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.