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Finding the Fourth Proportional to 9,866.10, 14,799.16 and 5,187.29

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Solution

The fourth proportional to 9,866.10, 14,799.16 and 5,187.29 is: 7,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.10 : 14,799.16 = 5,187.29 : x
  2. Step 2: Convert to fraction form
    9,866.10/14,799.16 = 5,187.29/x
  3. Step 3: Cross multiply
    9,866.10x = 14,799.16 × 5,187.29
  4. Step 4: Simplify right side
    9,866.10x = 76,767,521.23
  5. Step 5: Solve for x
    x = 76,767,521.23/9,866.10
  6. Step 6: Final answer
    x = 7,780.94

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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.