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Finding the Fourth Proportional to 7,878.72, 10,862.48 and 6,457.12

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Solution

The fourth proportional to 7,878.72, 10,862.48 and 6,457.12 is: 8,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.72 : 10,862.48 = 6,457.12 : x
  2. Step 2: Convert to fraction form
    7,878.72/10,862.48 = 6,457.12/x
  3. Step 3: Cross multiply
    7,878.72x = 10,862.48 × 6,457.12
  4. Step 4: Simplify right side
    7,878.72x = 70,140,336.86
  5. Step 5: Solve for x
    x = 70,140,336.86/7,878.72
  6. Step 6: Final answer
    x = 8,902.50

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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.