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Finding the Fourth Proportional to 14,307.84, 21,454.08 and 6,509.76

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Solution

The fourth proportional to 14,307.84, 21,454.08 and 6,509.76 is: 9,761.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.84 : 21,454.08 = 6,509.76 : x
  2. Step 2: Convert to fraction form
    14,307.84/21,454.08 = 6,509.76/x
  3. Step 3: Cross multiply
    14,307.84x = 21,454.08 × 6,509.76
  4. Step 4: Simplify right side
    14,307.84x = 139,660,911.82
  5. Step 5: Solve for x
    x = 139,660,911.82/14,307.84
  6. Step 6: Final answer
    x = 9,761.15

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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.