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Finding the Fourth Proportional to 5,681.72, 7,828.98 and 5,309.12

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Solution

The fourth proportional to 5,681.72, 7,828.98 and 5,309.12 is: 7,315.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.72 : 7,828.98 = 5,309.12 : x
  2. Step 2: Convert to fraction form
    5,681.72/7,828.98 = 5,309.12/x
  3. Step 3: Cross multiply
    5,681.72x = 7,828.98 × 5,309.12
  4. Step 4: Simplify right side
    5,681.72x = 41,564,994.30
  5. Step 5: Solve for x
    x = 41,564,994.30/5,681.72
  6. Step 6: Final answer
    x = 7,315.57

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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.