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Finding the Fourth Proportional to 9,896.04, 13,656.76 and 5,420

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Solution

The fourth proportional to 9,896.04, 13,656.76 and 5,420 is: 7,479.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.04 : 13,656.76 = 5,420 : x
  2. Step 2: Convert to fraction form
    9,896.04/13,656.76 = 5,420/x
  3. Step 3: Cross multiply
    9,896.04x = 13,656.76 × 5,420
  4. Step 4: Simplify right side
    9,896.04x = 74,019,639.20
  5. Step 5: Solve for x
    x = 74,019,639.20/9,896.04
  6. Step 6: Final answer
    x = 7,479.72

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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.