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Finding the Fourth Proportional to 6,945.31, 9,574.55 and 4,952.40

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Solution

The fourth proportional to 6,945.31, 9,574.55 and 4,952.40 is: 6,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.31 : 9,574.55 = 4,952.40 : x
  2. Step 2: Convert to fraction form
    6,945.31/9,574.55 = 4,952.40/x
  3. Step 3: Cross multiply
    6,945.31x = 9,574.55 × 4,952.40
  4. Step 4: Simplify right side
    6,945.31x = 47,417,001.42
  5. Step 5: Solve for x
    x = 47,417,001.42/6,945.31
  6. Step 6: Final answer
    x = 6,827.20

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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.