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Finding the Fourth Proportional to 7,543.99, 10,420.68 and 6,289.17

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Solution

The fourth proportional to 7,543.99, 10,420.68 and 6,289.17 is: 8,687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.99 : 10,420.68 = 6,289.17 : x
  2. Step 2: Convert to fraction form
    7,543.99/10,420.68 = 6,289.17/x
  3. Step 3: Cross multiply
    7,543.99x = 10,420.68 × 6,289.17
  4. Step 4: Simplify right side
    7,543.99x = 65,537,428.04
  5. Step 5: Solve for x
    x = 65,537,428.04/7,543.99
  6. Step 6: Final answer
    x = 8,687.37

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Double scale
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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.