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Finding the Fourth Proportional to 35,697, 53,552.76 and 12,320.40

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Solution

The fourth proportional to 35,697, 53,552.76 and 12,320.40 is: 18,483.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,697 : 53,552.76 = 12,320.40 : x
  2. Step 2: Convert to fraction form
    35,697/53,552.76 = 12,320.40/x
  3. Step 3: Cross multiply
    35,697x = 53,552.76 × 12,320.40
  4. Step 4: Simplify right side
    35,697x = 659,791,424.30
  5. Step 5: Solve for x
    x = 659,791,424.30/35,697
  6. Step 6: Final answer
    x = 18,483.11

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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.