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Finding the Fourth Proportional to 9,140.50, 12,613.98 and 4,948.84

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Solution

The fourth proportional to 9,140.50, 12,613.98 and 4,948.84 is: 6,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.50 : 12,613.98 = 4,948.84 : x
  2. Step 2: Convert to fraction form
    9,140.50/12,613.98 = 4,948.84/x
  3. Step 3: Cross multiply
    9,140.50x = 12,613.98 × 4,948.84
  4. Step 4: Simplify right side
    9,140.50x = 62,424,568.78
  5. Step 5: Solve for x
    x = 62,424,568.78/9,140.50
  6. Step 6: Final answer
    x = 6,829.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.