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Finding the Fourth Proportional to 10,012.40, 14,941.78 and 7,809.20

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Solution

The fourth proportional to 10,012.40, 14,941.78 and 7,809.20 is: 11,653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.40 : 14,941.78 = 7,809.20 : x
  2. Step 2: Convert to fraction form
    10,012.40/14,941.78 = 7,809.20/x
  3. Step 3: Cross multiply
    10,012.40x = 14,941.78 × 7,809.20
  4. Step 4: Simplify right side
    10,012.40x = 116,683,348.38
  5. Step 5: Solve for x
    x = 116,683,348.38/10,012.40
  6. Step 6: Final answer
    x = 11,653.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.