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Finding the Fourth Proportional to 14,271.78, 19,693.68 and 8,303.34

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Solution

The fourth proportional to 14,271.78, 19,693.68 and 8,303.34 is: 11,457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.78 : 19,693.68 = 8,303.34 : x
  2. Step 2: Convert to fraction form
    14,271.78/19,693.68 = 8,303.34/x
  3. Step 3: Cross multiply
    14,271.78x = 19,693.68 × 8,303.34
  4. Step 4: Simplify right side
    14,271.78x = 163,523,320.89
  5. Step 5: Solve for x
    x = 163,523,320.89/14,271.78
  6. Step 6: Final answer
    x = 11,457.81

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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.