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Finding the Fourth Proportional to 9,892.79, 13,645.91 and 6,117.11

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Solution

The fourth proportional to 9,892.79, 13,645.91 and 6,117.11 is: 8,437.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.79 : 13,645.91 = 6,117.11 : x
  2. Step 2: Convert to fraction form
    9,892.79/13,645.91 = 6,117.11/x
  3. Step 3: Cross multiply
    9,892.79x = 13,645.91 × 6,117.11
  4. Step 4: Simplify right side
    9,892.79x = 83,473,501.93
  5. Step 5: Solve for x
    x = 83,473,501.93/9,892.79
  6. Step 6: Final answer
    x = 8,437.81

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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.