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Finding the Fourth Proportional to 8,275.42, 11,406.93 and 6,503.98

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Solution

The fourth proportional to 8,275.42, 11,406.93 and 6,503.98 is: 8,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.42 : 11,406.93 = 6,503.98 : x
  2. Step 2: Convert to fraction form
    8,275.42/11,406.93 = 6,503.98/x
  3. Step 3: Cross multiply
    8,275.42x = 11,406.93 × 6,503.98
  4. Step 4: Simplify right side
    8,275.42x = 74,190,444.58
  5. Step 5: Solve for x
    x = 74,190,444.58/8,275.42
  6. Step 6: Final answer
    x = 8,965.16

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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.