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Finding the Fourth Proportional to 16,530.78, 22,810.04 and 9,816.70

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Solution

The fourth proportional to 16,530.78, 22,810.04 and 9,816.70 is: 13,545.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,530.78 : 22,810.04 = 9,816.70 : x
  2. Step 2: Convert to fraction form
    16,530.78/22,810.04 = 9,816.70/x
  3. Step 3: Cross multiply
    16,530.78x = 22,810.04 × 9,816.70
  4. Step 4: Simplify right side
    16,530.78x = 223,919,319.67
  5. Step 5: Solve for x
    x = 223,919,319.67/16,530.78
  6. Step 6: Final answer
    x = 13,545.60

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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.