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Finding the Fourth Proportional to 9,980.58, 14,966.54 and 5,299.57

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Solution

The fourth proportional to 9,980.58, 14,966.54 and 5,299.57 is: 7,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.58 : 14,966.54 = 5,299.57 : x
  2. Step 2: Convert to fraction form
    9,980.58/14,966.54 = 5,299.57/x
  3. Step 3: Cross multiply
    9,980.58x = 14,966.54 × 5,299.57
  4. Step 4: Simplify right side
    9,980.58x = 79,316,162.47
  5. Step 5: Solve for x
    x = 79,316,162.47/9,980.58
  6. Step 6: Final answer
    x = 7,947.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.