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Finding the Fourth Proportional to 13,000.58, 17,940.95 and 7,894.64

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Solution

The fourth proportional to 13,000.58, 17,940.95 and 7,894.64 is: 10,894.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.58 : 17,940.95 = 7,894.64 : x
  2. Step 2: Convert to fraction form
    13,000.58/17,940.95 = 7,894.64/x
  3. Step 3: Cross multiply
    13,000.58x = 17,940.95 × 7,894.64
  4. Step 4: Simplify right side
    13,000.58x = 141,637,341.51
  5. Step 5: Solve for x
    x = 141,637,341.51/13,000.58
  6. Step 6: Final answer
    x = 10,894.69

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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.