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Finding the Fourth Proportional to 10,636.40, 14,663.02 and 7,482.80

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Solution

The fourth proportional to 10,636.40, 14,663.02 and 7,482.80 is: 10,315.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.40 : 14,663.02 = 7,482.80 : x
  2. Step 2: Convert to fraction form
    10,636.40/14,663.02 = 7,482.80/x
  3. Step 3: Cross multiply
    10,636.40x = 14,663.02 × 7,482.80
  4. Step 4: Simplify right side
    10,636.40x = 109,720,446.06
  5. Step 5: Solve for x
    x = 109,720,446.06/10,636.40
  6. Step 6: Final answer
    x = 10,315.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.