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Finding the Fourth Proportional to 9,290.56, 12,810 and 7,605.76

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Solution

The fourth proportional to 9,290.56, 12,810 and 7,605.76 is: 10,486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.56 : 12,810 = 7,605.76 : x
  2. Step 2: Convert to fraction form
    9,290.56/12,810 = 7,605.76/x
  3. Step 3: Cross multiply
    9,290.56x = 12,810 × 7,605.76
  4. Step 4: Simplify right side
    9,290.56x = 97,429,785.60
  5. Step 5: Solve for x
    x = 97,429,785.60/9,290.56
  6. Step 6: Final answer
    x = 10,486.97

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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.