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Finding the Fourth Proportional to 9,934.76, 13,705.23 and 7,240.20

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Solution

The fourth proportional to 9,934.76, 13,705.23 and 7,240.20 is: 9,988.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.76 : 13,705.23 = 7,240.20 : x
  2. Step 2: Convert to fraction form
    9,934.76/13,705.23 = 7,240.20/x
  3. Step 3: Cross multiply
    9,934.76x = 13,705.23 × 7,240.20
  4. Step 4: Simplify right side
    9,934.76x = 99,228,501.52
  5. Step 5: Solve for x
    x = 99,228,501.52/9,934.76
  6. Step 6: Final answer
    x = 9,988.02

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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.