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Finding the Fourth Proportional to 5,439.16, 7,502.70 and 4,742.20

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Solution

The fourth proportional to 5,439.16, 7,502.70 and 4,742.20 is: 6,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,439.16 : 7,502.70 = 4,742.20 : x
  2. Step 2: Convert to fraction form
    5,439.16/7,502.70 = 4,742.20/x
  3. Step 3: Cross multiply
    5,439.16x = 7,502.70 × 4,742.20
  4. Step 4: Simplify right side
    5,439.16x = 35,579,303.94
  5. Step 5: Solve for x
    x = 35,579,303.94/5,439.16
  6. Step 6: Final answer
    x = 6,541.32

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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.