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Finding the Fourth Proportional to 9,782.10, 14,638.07 and 8,470.38

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Solution

The fourth proportional to 9,782.10, 14,638.07 and 8,470.38 is: 12,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.10 : 14,638.07 = 8,470.38 : x
  2. Step 2: Convert to fraction form
    9,782.10/14,638.07 = 8,470.38/x
  3. Step 3: Cross multiply
    9,782.10x = 14,638.07 × 8,470.38
  4. Step 4: Simplify right side
    9,782.10x = 123,989,973.01
  5. Step 5: Solve for x
    x = 123,989,973.01/9,782.10
  6. Step 6: Final answer
    x = 12,675.19

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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.