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Finding the Fourth Proportional to 11,417.44, 15,695.63 and 9,818.20

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Solution

The fourth proportional to 11,417.44, 15,695.63 and 9,818.20 is: 13,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.44 : 15,695.63 = 9,818.20 : x
  2. Step 2: Convert to fraction form
    11,417.44/15,695.63 = 9,818.20/x
  3. Step 3: Cross multiply
    11,417.44x = 15,695.63 × 9,818.20
  4. Step 4: Simplify right side
    11,417.44x = 154,102,834.47
  5. Step 5: Solve for x
    x = 154,102,834.47/11,417.44
  6. Step 6: Final answer
    x = 13,497.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.