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Finding the Fourth Proportional to 13,468.16, 18,585.64 and 7,499.70

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Solution

The fourth proportional to 13,468.16, 18,585.64 and 7,499.70 is: 10,349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.16 : 18,585.64 = 7,499.70 : x
  2. Step 2: Convert to fraction form
    13,468.16/18,585.64 = 7,499.70/x
  3. Step 3: Cross multiply
    13,468.16x = 18,585.64 × 7,499.70
  4. Step 4: Simplify right side
    13,468.16x = 139,386,724.31
  5. Step 5: Solve for x
    x = 139,386,724.31/13,468.16
  6. Step 6: Final answer
    x = 10,349.35

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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.