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Finding the Fourth Proportional to 9,990.84, 13,798.50 and 7,779.32

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Solution

The fourth proportional to 9,990.84, 13,798.50 and 7,779.32 is: 10,744.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,990.84 : 13,798.50 = 7,779.32 : x
  2. Step 2: Convert to fraction form
    9,990.84/13,798.50 = 7,779.32/x
  3. Step 3: Cross multiply
    9,990.84x = 13,798.50 × 7,779.32
  4. Step 4: Simplify right side
    9,990.84x = 107,342,947.02
  5. Step 5: Solve for x
    x = 107,342,947.02/9,990.84
  6. Step 6: Final answer
    x = 10,744.14

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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.