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Finding the Fourth Proportional to 7,151.34, 9,870.03 and 4,356.66

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Solution

The fourth proportional to 7,151.34, 9,870.03 and 4,356.66 is: 6,012.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.34 : 9,870.03 = 4,356.66 : x
  2. Step 2: Convert to fraction form
    7,151.34/9,870.03 = 4,356.66/x
  3. Step 3: Cross multiply
    7,151.34x = 9,870.03 × 4,356.66
  4. Step 4: Simplify right side
    7,151.34x = 43,000,364.90
  5. Step 5: Solve for x
    x = 43,000,364.90/7,151.34
  6. Step 6: Final answer
    x = 6,012.91

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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.