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Finding the Fourth Proportional to 9,707.79, 13,420.63 and 9,618.99

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Solution

The fourth proportional to 9,707.79, 13,420.63 and 9,618.99 is: 13,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.79 : 13,420.63 = 9,618.99 : x
  2. Step 2: Convert to fraction form
    9,707.79/13,420.63 = 9,618.99/x
  3. Step 3: Cross multiply
    9,707.79x = 13,420.63 × 9,618.99
  4. Step 4: Simplify right side
    9,707.79x = 129,092,881.72
  5. Step 5: Solve for x
    x = 129,092,881.72/9,707.79
  6. Step 6: Final answer
    x = 13,297.86

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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.