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Finding the Fourth Proportional to 13,437, 18,543.14 and 7,846.92

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Solution

The fourth proportional to 13,437, 18,543.14 and 7,846.92 is: 10,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437 : 18,543.14 = 7,846.92 : x
  2. Step 2: Convert to fraction form
    13,437/18,543.14 = 7,846.92/x
  3. Step 3: Cross multiply
    13,437x = 18,543.14 × 7,846.92
  4. Step 4: Simplify right side
    13,437x = 145,506,536.13
  5. Step 5: Solve for x
    x = 145,506,536.13/13,437
  6. Step 6: Final answer
    x = 10,828.80

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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.