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Finding the Fourth Proportional to 7,156.16, 9,865.14 and 5,025.20

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Solution

The fourth proportional to 7,156.16, 9,865.14 and 5,025.20 is: 6,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.16 : 9,865.14 = 5,025.20 : x
  2. Step 2: Convert to fraction form
    7,156.16/9,865.14 = 5,025.20/x
  3. Step 3: Cross multiply
    7,156.16x = 9,865.14 × 5,025.20
  4. Step 4: Simplify right side
    7,156.16x = 49,574,301.53
  5. Step 5: Solve for x
    x = 49,574,301.53/7,156.16
  6. Step 6: Final answer
    x = 6,927.50

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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.