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Finding the Fourth Proportional to 9,407.80, 14,111.70 and 8,387.20

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Solution

The fourth proportional to 9,407.80, 14,111.70 and 8,387.20 is: 12,580.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.80 : 14,111.70 = 8,387.20 : x
  2. Step 2: Convert to fraction form
    9,407.80/14,111.70 = 8,387.20/x
  3. Step 3: Cross multiply
    9,407.80x = 14,111.70 × 8,387.20
  4. Step 4: Simplify right side
    9,407.80x = 118,357,650.24
  5. Step 5: Solve for x
    x = 118,357,650.24/9,407.80
  6. Step 6: Final answer
    x = 12,580.80

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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.