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Finding the Fourth Proportional to 7,158.28, 9,868.74 and 4,919.32

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Solution

The fourth proportional to 7,158.28, 9,868.74 and 4,919.32 is: 6,782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.28 : 9,868.74 = 4,919.32 : x
  2. Step 2: Convert to fraction form
    7,158.28/9,868.74 = 4,919.32/x
  3. Step 3: Cross multiply
    7,158.28x = 9,868.74 × 4,919.32
  4. Step 4: Simplify right side
    7,158.28x = 48,547,490.06
  5. Step 5: Solve for x
    x = 48,547,490.06/7,158.28
  6. Step 6: Final answer
    x = 6,782.00

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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.