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Finding the Fourth Proportional to 10,745, 14,829.72 and 6,555.68

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Solution

The fourth proportional to 10,745, 14,829.72 and 6,555.68 is: 9,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745 : 14,829.72 = 6,555.68 : x
  2. Step 2: Convert to fraction form
    10,745/14,829.72 = 6,555.68/x
  3. Step 3: Cross multiply
    10,745x = 14,829.72 × 6,555.68
  4. Step 4: Simplify right side
    10,745x = 97,218,898.81
  5. Step 5: Solve for x
    x = 97,218,898.81/10,745
  6. Step 6: Final answer
    x = 9,047.83

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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.