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Finding the Fourth Proportional to 13,398.70, 18,490.64 and 7,430.93

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Solution

The fourth proportional to 13,398.70, 18,490.64 and 7,430.93 is: 10,254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.70 : 18,490.64 = 7,430.93 : x
  2. Step 2: Convert to fraction form
    13,398.70/18,490.64 = 7,430.93/x
  3. Step 3: Cross multiply
    13,398.70x = 18,490.64 × 7,430.93
  4. Step 4: Simplify right side
    13,398.70x = 137,402,651.50
  5. Step 5: Solve for x
    x = 137,402,651.50/13,398.70
  6. Step 6: Final answer
    x = 10,254.92

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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.