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Finding the Fourth Proportional to 6,970.49, 9,612 and 5,377.40

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Solution

The fourth proportional to 6,970.49, 9,612 and 5,377.40 is: 7,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.49 : 9,612 = 5,377.40 : x
  2. Step 2: Convert to fraction form
    6,970.49/9,612 = 5,377.40/x
  3. Step 3: Cross multiply
    6,970.49x = 9,612 × 5,377.40
  4. Step 4: Simplify right side
    6,970.49x = 51,687,520.74
  5. Step 5: Solve for x
    x = 51,687,520.74/6,970.49
  6. Step 6: Final answer
    x = 7,415.20

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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.