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Finding the Fourth Proportional to 10,307.84, 15,455.06 and 6,787.18

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Solution

The fourth proportional to 10,307.84, 15,455.06 and 6,787.18 is: 10,176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.84 : 15,455.06 = 6,787.18 : x
  2. Step 2: Convert to fraction form
    10,307.84/15,455.06 = 6,787.18/x
  3. Step 3: Cross multiply
    10,307.84x = 15,455.06 × 6,787.18
  4. Step 4: Simplify right side
    10,307.84x = 104,896,274.13
  5. Step 5: Solve for x
    x = 104,896,274.13/10,307.84
  6. Step 6: Final answer
    x = 10,176.36

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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.