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Finding the Fourth Proportional to 7,130.61, 9,840.31 and 3,943.74

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Solution

The fourth proportional to 7,130.61, 9,840.31 and 3,943.74 is: 5,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.61 : 9,840.31 = 3,943.74 : x
  2. Step 2: Convert to fraction form
    7,130.61/9,840.31 = 3,943.74/x
  3. Step 3: Cross multiply
    7,130.61x = 9,840.31 × 3,943.74
  4. Step 4: Simplify right side
    7,130.61x = 38,807,624.16
  5. Step 5: Solve for x
    x = 38,807,624.16/7,130.61
  6. Step 6: Final answer
    x = 5,442.40

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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.