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Finding the Fourth Proportional to 9,866.81, 14,779.17 and 7,984.64

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Solution

The fourth proportional to 9,866.81, 14,779.17 and 7,984.64 is: 11,959.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.81 : 14,779.17 = 7,984.64 : x
  2. Step 2: Convert to fraction form
    9,866.81/14,779.17 = 7,984.64/x
  3. Step 3: Cross multiply
    9,866.81x = 14,779.17 × 7,984.64
  4. Step 4: Simplify right side
    9,866.81x = 118,006,278.05
  5. Step 5: Solve for x
    x = 118,006,278.05/9,866.81
  6. Step 6: Final answer
    x = 11,959.93

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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.