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Finding the Fourth Proportional to 10,768.50, 14,860.53 and 7,042.50

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Solution

The fourth proportional to 10,768.50, 14,860.53 and 7,042.50 is: 9,718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.50 : 14,860.53 = 7,042.50 : x
  2. Step 2: Convert to fraction form
    10,768.50/14,860.53 = 7,042.50/x
  3. Step 3: Cross multiply
    10,768.50x = 14,860.53 × 7,042.50
  4. Step 4: Simplify right side
    10,768.50x = 104,655,282.53
  5. Step 5: Solve for x
    x = 104,655,282.53/10,768.50
  6. Step 6: Final answer
    x = 9,718.65

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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.