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Finding the Fourth Proportional to 8,347.77, 12,503.65 and 7,857.06

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Solution

The fourth proportional to 8,347.77, 12,503.65 and 7,857.06 is: 11,768.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347.77 : 12,503.65 = 7,857.06 : x
  2. Step 2: Convert to fraction form
    8,347.77/12,503.65 = 7,857.06/x
  3. Step 3: Cross multiply
    8,347.77x = 12,503.65 × 7,857.06
  4. Step 4: Simplify right side
    8,347.77x = 98,241,928.27
  5. Step 5: Solve for x
    x = 98,241,928.27/8,347.77
  6. Step 6: Final answer
    x = 11,768.64

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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.