Home / 1,565.60-2,159.94-975.62

Finding the Fourth Proportional to 1,565.60, 2,159.94 and 975.62

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Solution

The fourth proportional to 1,565.60, 2,159.94 and 975.62 is: 1,345.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.60 : 2,159.94 = 975.62 : x
  2. Step 2: Convert to fraction form
    1,565.60/2,159.94 = 975.62/x
  3. Step 3: Cross multiply
    1,565.60x = 2,159.94 × 975.62
  4. Step 4: Simplify right side
    1,565.60x = 2,107,280.66
  5. Step 5: Solve for x
    x = 2,107,280.66/1,565.60
  6. Step 6: Final answer
    x = 1,345.99

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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.