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Finding the Fourth Proportional to 6,457.76, 8,913.12 and 3,807.20

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Solution

The fourth proportional to 6,457.76, 8,913.12 and 3,807.20 is: 5,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.76 : 8,913.12 = 3,807.20 : x
  2. Step 2: Convert to fraction form
    6,457.76/8,913.12 = 3,807.20/x
  3. Step 3: Cross multiply
    6,457.76x = 8,913.12 × 3,807.20
  4. Step 4: Simplify right side
    6,457.76x = 33,934,030.46
  5. Step 5: Solve for x
    x = 33,934,030.46/6,457.76
  6. Step 6: Final answer
    x = 5,254.77

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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.