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Finding the Fourth Proportional to 13,548, 18,695.04 and 7,580.16

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Solution

The fourth proportional to 13,548, 18,695.04 and 7,580.16 is: 10,459.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548 : 18,695.04 = 7,580.16 : x
  2. Step 2: Convert to fraction form
    13,548/18,695.04 = 7,580.16/x
  3. Step 3: Cross multiply
    13,548x = 18,695.04 × 7,580.16
  4. Step 4: Simplify right side
    13,548x = 141,711,394.41
  5. Step 5: Solve for x
    x = 141,711,394.41/13,548
  6. Step 6: Final answer
    x = 10,459.95

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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.