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Finding the Fourth Proportional to 35,699, 53,555.76 and 12,322.40

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Solution

The fourth proportional to 35,699, 53,555.76 and 12,322.40 is: 18,486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,699 : 53,555.76 = 12,322.40 : x
  2. Step 2: Convert to fraction form
    35,699/53,555.76 = 12,322.40/x
  3. Step 3: Cross multiply
    35,699x = 53,555.76 × 12,322.40
  4. Step 4: Simplify right side
    35,699x = 659,935,497.02
  5. Step 5: Solve for x
    x = 659,935,497.02/35,699
  6. Step 6: Final answer
    x = 18,486.11

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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.