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Finding the Fourth Proportional to 11,603.40, 17,320.17 and 9,970.44

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Solution

The fourth proportional to 11,603.40, 17,320.17 and 9,970.44 is: 14,882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.40 : 17,320.17 = 9,970.44 : x
  2. Step 2: Convert to fraction form
    11,603.40/17,320.17 = 9,970.44/x
  3. Step 3: Cross multiply
    11,603.40x = 17,320.17 × 9,970.44
  4. Step 4: Simplify right side
    11,603.40x = 172,689,715.77
  5. Step 5: Solve for x
    x = 172,689,715.77/11,603.40
  6. Step 6: Final answer
    x = 14,882.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.