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Finding the Fourth Proportional to 9,347.90, 14,009.06 and 5,190.80

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Solution

The fourth proportional to 9,347.90, 14,009.06 and 5,190.80 is: 7,779.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.90 : 14,009.06 = 5,190.80 : x
  2. Step 2: Convert to fraction form
    9,347.90/14,009.06 = 5,190.80/x
  3. Step 3: Cross multiply
    9,347.90x = 14,009.06 × 5,190.80
  4. Step 4: Simplify right side
    9,347.90x = 72,718,228.65
  5. Step 5: Solve for x
    x = 72,718,228.65/9,347.90
  6. Step 6: Final answer
    x = 7,779.10

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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.