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Finding the Fourth Proportional to 9,368.16, 14,053.76 and 8,438.80

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Solution

The fourth proportional to 9,368.16, 14,053.76 and 8,438.80 is: 12,659.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368.16 : 14,053.76 = 8,438.80 : x
  2. Step 2: Convert to fraction form
    9,368.16/14,053.76 = 8,438.80/x
  3. Step 3: Cross multiply
    9,368.16x = 14,053.76 × 8,438.80
  4. Step 4: Simplify right side
    9,368.16x = 118,596,869.89
  5. Step 5: Solve for x
    x = 118,596,869.89/9,368.16
  6. Step 6: Final answer
    x = 12,659.57

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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.