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Finding the Fourth Proportional to 12,957.69, 19,455.98 and 7,417.29

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Solution

The fourth proportional to 12,957.69, 19,455.98 and 7,417.29 is: 11,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.69 : 19,455.98 = 7,417.29 : x
  2. Step 2: Convert to fraction form
    12,957.69/19,455.98 = 7,417.29/x
  3. Step 3: Cross multiply
    12,957.69x = 19,455.98 × 7,417.29
  4. Step 4: Simplify right side
    12,957.69x = 144,310,608.81
  5. Step 5: Solve for x
    x = 144,310,608.81/12,957.69
  6. Step 6: Final answer
    x = 11,137.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.