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Finding the Fourth Proportional to 13,695.04, 18,898.08 and 7,728.16

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Solution

The fourth proportional to 13,695.04, 18,898.08 and 7,728.16 is: 10,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695.04 : 18,898.08 = 7,728.16 : x
  2. Step 2: Convert to fraction form
    13,695.04/18,898.08 = 7,728.16/x
  3. Step 3: Cross multiply
    13,695.04x = 18,898.08 × 7,728.16
  4. Step 4: Simplify right side
    13,695.04x = 146,047,385.93
  5. Step 5: Solve for x
    x = 146,047,385.93/13,695.04
  6. Step 6: Final answer
    x = 10,664.25

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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.