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Finding the Fourth Proportional to 13,718.34, 18,931.41 and 7,430.76

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Solution

The fourth proportional to 13,718.34, 18,931.41 and 7,430.76 is: 10,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.34 : 18,931.41 = 7,430.76 : x
  2. Step 2: Convert to fraction form
    13,718.34/18,931.41 = 7,430.76/x
  3. Step 3: Cross multiply
    13,718.34x = 18,931.41 × 7,430.76
  4. Step 4: Simplify right side
    13,718.34x = 140,674,764.17
  5. Step 5: Solve for x
    x = 140,674,764.17/13,718.34
  6. Step 6: Final answer
    x = 10,254.50

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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.