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Finding the Fourth Proportional to 6,457.62, 8,916.76 and 5,262.78

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Solution

The fourth proportional to 6,457.62, 8,916.76 and 5,262.78 is: 7,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.62 : 8,916.76 = 5,262.78 : x
  2. Step 2: Convert to fraction form
    6,457.62/8,916.76 = 5,262.78/x
  3. Step 3: Cross multiply
    6,457.62x = 8,916.76 × 5,262.78
  4. Step 4: Simplify right side
    6,457.62x = 46,926,946.19
  5. Step 5: Solve for x
    x = 46,926,946.19/6,457.62
  6. Step 6: Final answer
    x = 7,266.91

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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.