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Finding the Fourth Proportional to 6,970.47, 9,619.52 and 4,985.79

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Solution

The fourth proportional to 6,970.47, 9,619.52 and 4,985.79 is: 6,880.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.47 : 9,619.52 = 4,985.79 : x
  2. Step 2: Convert to fraction form
    6,970.47/9,619.52 = 4,985.79/x
  3. Step 3: Cross multiply
    6,970.47x = 9,619.52 × 4,985.79
  4. Step 4: Simplify right side
    6,970.47x = 47,960,881.69
  5. Step 5: Solve for x
    x = 47,960,881.69/6,970.47
  6. Step 6: Final answer
    x = 6,880.58

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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.