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Finding the Fourth Proportional to 9,902.99, 14,856.96 and 6,986.99

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Solution

The fourth proportional to 9,902.99, 14,856.96 and 6,986.99 is: 10,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.99 : 14,856.96 = 6,986.99 : x
  2. Step 2: Convert to fraction form
    9,902.99/14,856.96 = 6,986.99/x
  3. Step 3: Cross multiply
    9,902.99x = 14,856.96 × 6,986.99
  4. Step 4: Simplify right side
    9,902.99x = 103,805,430.95
  5. Step 5: Solve for x
    x = 103,805,430.95/9,902.99
  6. Step 6: Final answer
    x = 10,482.23

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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.