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Finding the Fourth Proportional to 35,871.40, 53,808.70 and 13,695.40

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Solution

The fourth proportional to 35,871.40, 53,808.70 and 13,695.40 is: 20,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,871.40 : 53,808.70 = 13,695.40 : x
  2. Step 2: Convert to fraction form
    35,871.40/53,808.70 = 13,695.40/x
  3. Step 3: Cross multiply
    35,871.40x = 53,808.70 × 13,695.40
  4. Step 4: Simplify right side
    35,871.40x = 736,931,669.98
  5. Step 5: Solve for x
    x = 736,931,669.98/35,871.40
  6. Step 6: Final answer
    x = 20,543.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.