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Finding the Fourth Proportional to 5,875.70, 8,807.40 and 1,978.76

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Solution

The fourth proportional to 5,875.70, 8,807.40 and 1,978.76 is: 2,966.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.70 : 8,807.40 = 1,978.76 : x
  2. Step 2: Convert to fraction form
    5,875.70/8,807.40 = 1,978.76/x
  3. Step 3: Cross multiply
    5,875.70x = 8,807.40 × 1,978.76
  4. Step 4: Simplify right side
    5,875.70x = 17,427,730.82
  5. Step 5: Solve for x
    x = 17,427,730.82/5,875.70
  6. Step 6: Final answer
    x = 2,966.07

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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.